How to spell rectangle
Rectangle Definition & Meaning - Merriam-Webster
rect·an·gle ˈrek-ˌtaŋ-gəl
: a parallelogram all of whose angles are right angles
especially : one with adjacent sides of unequal length
Example Sentences
Recent Examples on the Web There’s no mound in this version of the game, just a rectangle marked off with chalk 50, not 60, feet from home plate. Robert Gauthierstaff Photographer, Los Angeles Times, 24 Oct. 2022 Shape blue dough into a rectangle, and place between two pieces of plastic wrap. People Staff, PEOPLE.com, 30 July 2022 Shape one half of the dough into a
rectangle about the size of a sandwich. Julia O'malley, Anchorage Daily News, 16 Dec. 2021 On a floured surface, shape the dough into a rectangle that’s a half-inch thick. Tim Neville, Outside Online, 8 July 2021 Step 2Transfer dough to a gallon-size ziplock plastic bag, and press into a 1-inch-thick, 9-inch-wide rectangle. People Staff, PEOPLE.
com, 31 July 2022 But then your rectangle would be longer by an inch. Vogue, 5 Nov. 2021 The picture is as exactingly rendered as all of those in this show, except that one border of its orange rectangle is a bit ragged. Washington Post, 22 Oct. 2021 Picture a cylinder the width of a roll of quarters housed in a rectangle the size of a microwave oven, describing a north-south orbit for roughly 10 years, crossing over every point on Earth as the planet spins beneath it. Neal Rubin, Detroit Free Press, 26 May 2022 See More
These example sentences are selected automatically from various online news sources to reflect current usage of the word 'rectangle.
' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.
Word History
Etymology
Medieval Latin rectangulus having a right angle, from Latin rectus right + angulus angle — more at right, angle
First Known Use
circa 1560, in the meaning defined above
Time Traveler
The first known use of rectangle was circa 1560
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Dictionary Entries Near
rectanglerectal
rectangle
rectangled
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MLAChicagoAPAMerriam-Webster
“Rectangle.
” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/rectangle. Accessed 17 Nov. 2022.
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Kids Definition
rectangle
rect·an·gle ˈrek-ˌtaŋ-gəl
: a four-sided polygon that has four right angles and each pair of opposite sides parallel and of the same length
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rectangleThesaurus: All synonyms and antonyms for rectangle
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Merriam-Webster unabridged
Rectangular Definition & Meaning - Merriam-Webster
rect·an·gu·lar rek-ˈtaŋ-gyə-lər
1
: shaped like a rectangle
a rectangular area
2
a
: crossing, lying, or meeting at a right angle
rectangular axes
b
: having edges, surfaces, or faces that meet at right angles : having faces or surfaces shaped like rectangles
rectangular parallelepipeds
a rectangular solid
rectangularity
(ˌ)rek-ˌtaŋ-gyə-ˈler-ə-tē
-ˈla-rə-tē
noun
rectangularly
rek-ˈtaŋ-gyə-lər-lē
adverb
Example Sentences
Recent Examples on the Web The shape of the rancher is often rectangular, though many can also be built in a U or L shape.
Rachel Silva, ELLE Decor, 11 July 2022 The glass that lets light travel through the prism is rectangular rather than circular. Chris Smith, BGR
, 21 June 2022 The ball itself has circular holes in it, while the paddle — about the size of a table tennis paddle — is rectangular. NBC News, 19 Apr. 2022 Most are rectangular or square, but there are also corner TV stands, which can work well in rooms without a ton of wall space, plus there are floating consoles that are great space-savers. Rachel Klein, Popular Mechanics, 29 Sep. 2022 Two of the stone bases are rectangular and look a bit like coffins.
Philip Kennicott, Washington Post, 23 Aug. 2022 Normal Android phone screens are rectangular because that's what the OS is designed for, but the previous two Razrs had really wild display shapes, with curved, non-parallel top and bottom edges. Ron Amadeo, Ars Technica, 11 Aug. 2022 Wouters’ research focuses on these user terminals, which originally were round, but newer models are rectangular. Wired, 11 Aug. 2022 Bath towels are also normally rectangular in shape and come in a variety of sizes. Kylee Mcguigan, Popular Mechanics, 24 Aug. 2022 See More
These example sentences are selected automatically from various online news sources to reflect current usage of the word 'rectangular.
' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.
Word History
First Known Use
circa 1560, in the meaning defined at sense 1
Time Traveler
The first known use of rectangular was circa 1560
See more words from the same year
Dictionary Entries Near
rectangularrectangled
rectangular
rectangular coordinate
See More Nearby Entries
Cite this Entry
Style
MLAChicagoAPAMerriam-Webster
“Rectangular.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.
merriam-webster.com/dictionary/rectangular. Accessed 17 Nov. 2022.
Copy Citation
Kids Definition
rectangular
rect·an·gu·lar rek-ˈtaŋ-gyə-lər
1
: shaped like a rectangle
a rectangular building
2
: having edges, faces, or surfaces that meet at right angles : having faces or surfaces shaped like rectangles
a rectangular solid
rectangular blocks
More from Merriam-Webster on
rectangularThesaurus: All synonyms and antonyms for rectangular
Nglish: Translation of rectangular for Spanish Speakers
Britannica English: Translation of rectangular for Arabic Speakers
Last Updated: - Updated example sentences
Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!
Merriam-Webster unabridged
Rectangle
Section Menu
- Mathematics
Rating: 1 / 5
Please rate Grade 1 Grade 2 Grade 3 Grade 4 Grade 5Rectangle definition
Features and properties
.
Rectangle is a quadrilateral in which all angles are right, that is, 90 degrees, and the opposite sides of the rectangle are equal to each other. The rectangle itself is usually written by listing its vertices (denoted in Latin letters - ABCD). The long side of the rectangle is called the length (denoted by the Latin letter - a), and the short side is called the width (denoted by the Latin letter - b). The sides of the rectangle are also its heights (see Fig. 1).
AB=CD
BC = AD
Legend
- a — length
- b - width
- P - perimeter
- S - area
Perimeter and area of a rectangle
P = a + b + a + b; P = a 2 + b 2; P = 2a + 2b is the perimeter of the rectangle
S = a b - area of rectangle
Rectangle is a parallelogram with all right angles (see Fig.
2).
Rectangle property . The diagonals of the rectangle are equal (see Fig. 3).
Rectangle attribute . If the diagonals of a parallelogram are equal, then the parallelogram is a rectangle.
Example of finding the perimeter of a rectangle
To find the perimeter of a rectangle , you need to add its two adjacent sides and multiply the sum by two.
AB = CD = 2
BC = AD = 4
P = AB + BC + CD AD
P = 2 + 2 + 4 + 4 = 12
P = (2 + 4) 2 = 12
Problems and solutions for finding the perimeter and area
Homework
To easily and quickly solve similar problems, you need to consolidate your knowledge by completing several tasks yourself. Solve the problem and give the answer.
- Find the perimeter of a rectangle with sides 9 and 6 cm.
- Find the perimeter of a rectangle with sides 7 and 8 cm.
- Find the length of a rectangle if its width is 7 cm and its perimeter is 28 cm.
- Find the width of a rectangle if its length is 10 cm and its perimeter is 30 cm.
- The width of the rectangle is 14 cm. The length is 5 cm longer. Find its perimeter and area.
- The width of the rectangle is 4 cm. The length is 3 cm longer. Find its perimeter and area.
- The student had to draw a rectangle with sides 5 cm and 9 cm, and he drew it with sides 6 and 8 cm. By how many cm² did he make a mistake?
- The student had to draw a rectangle with sides 10 cm and 8 cm, and he drew it with sides 8 cm and 6. By how many cm² did he make a mistake?
- The perimeter of a rectangle is 36 cm. Its length is 4 cm. Find the area of the rectangle.
- The area of a rectangle is 40 cm². Its width is 4 cm. What is the perimeter of the rectangle?
- The area of a rectangle is 40 cm².
Its width is 5 cm. What is the perimeter of the rectangle?
- The length of a rectangle is 20 cm, the width is 15 cm. Find the length of a rectangle with the same area if its width is 3 times less than the width of the first rectangle.
- The length of a rectangle is 16 cm. The width is 4 cm. Find the length of a rectangle with the same area if its width is twice the width of the first rectangle.
Short:
Famous and great mathematicians
scientists of antiquity, medieval and modern times, and their contribution to world science
Eratosthenes
Eratosthenes of Cyrene - Greek mathematician, astronomer, geographer, philologist and poet
Date of birth: 276 BC e.
Place of birth: Cyrene (the territory of modern Libya)
Date of death: 194 BC e.
Biography
Pupil of Callimachus, from 235 BC e. head of the Alexandria Library. The first known scientist to calculate the size of the Earth.
Eratosthenes received his primary education in Alexandria under the guidance of his fellow countryman Callimachus. Another teacher of Eratosthenes in Alexandria was the philosopher Lysnius. After moving to Athens, he became so close to the school of Plato that he usually called himself a Platonist. The result of the study of the sciences in these two centers was the encyclopedic erudition of Eratosthenes.
In 245 B.C. e. King Ptolemy III Euergetes invited Eratosthenes to come from Athens to work in the Library of Alexandria, where his teacher Callimachus and Apollonius of Rhodes were already working. Eratosthenes responded to the invitation, at the age of about thirty he came to Alexandria, where he remained until his death.
Five years after his arrival, he succeeded Apollonius of Rhodes as head of the Library of Alexandria. As head of the library, Eratosthenes taught the children of the monarch, the future ruler Ptolemy IV and his sister Arsinoe.
As head of the library, he was actively involved in its expansion and development, trying to maintain the reputation of the library in competition with the Pergamon Library.
At his request, the Alexandrian port authorities seized all books from incoming ships for study and copying. Eratosthenes acquired authentic copies of the tragedies of the great Greek authors - Aeschylus, Sophocles and Euripides, and also established a whole department in the library that studied the work of Homer.
The nickname of Eratosthenes was "pentatlos" - a pentathlete, that is, a comprehensively developed person, it was given to him for his talent in various fields of knowledge.
In honor of Eratosthenes, a crater on the Moon, one of the periods of the geological history of the Moon, is named, as well as a seamount in the Mediterranean Sea, near Cyprus.
Some of his works:
- Doubling the Cube
- Device called mesolabium
- About averages
- Algorithm for "unrolling all rational relations from an equality relation"
- Sieve of Eratosthenes
- Determined the angular distance from the equator to the tropic
- Measuring the length of the earth's meridian
- Created the first map of the world
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What is a rectangle and a square
Rectangle is a quadrilateral with all right angles. So the opposite sides are equal to each other.
Square is a rectangle with equal sides and angles. It is called a regular quadrilateral.
Quadrilaterals, including rectangles and squares, are denoted by 4 letters - vertices. Latin letters are used to designate vertices: A, B, C, D ...
Example.
It reads like this: quadrilateral ABCD; square EFGH.
What is the perimeter of a rectangle? Perimeter formula
The perimeter of a rectangle is the sum of the lengths of all sides of the rectangle, or the sum of the length and width multiplied by 2.
The perimeter is denoted by the Latin letter P . Since the perimeter is the length of all sides of the rectangle, the perimeter is written in units of length: mm, cm, m, dm, km.
For example, the perimeter of a rectangle ABCD is denoted as P ABCD , where A, B, C, D are the vertices of the rectangle.
Write the formula for the perimeter of quadrilateral ABCD:
P ABCD = AB + BC + CD + AD = 2 * AB + 2 * BC = 2 * (AB + BC)
Example.
Rectangle ABCD is specified with sides: AB=CD=5 cm and AD=BC=3 cm.
Define P ABCD .
Solution:
1. Draw a rectangle ABCD with initial data.
2. Let's write a formula for calculating the perimeter of this rectangle:
P ABCD = 2 * (AB + BC)
3.
Substitute our data into the formula: P ABCD = 2 * (5 cm + 3 cm) = 2 * 8 cm = 16 cm
Answer: P ABCD = 16 cm.
Formula for calculating the perimeter of a square
We have a formula for finding the perimeter of a rectangle.
P ABCD = 2 * (AB + BC)
Let's apply it to determine the perimeter of a square. Given that all sides of the square are equal, we get:
P ABCD = 4 * AB
Example.
Given a square ABCD with a side equal to 6 cm. Determine the perimeter of the square.
Solution.
1. Draw a square ABCD with initial data.
2. Recall the formula for calculating the perimeter of a square:
P ABCD = 4 * AB
3. Substitute our data into the formula:
P ABCD = 4 * 6 cm = 24 cm
Answer: P ABCD = 24 cm.
Problems for finding the perimeter of a rectangle
1. Measure the width and length of the rectangles. Determine their perimeter.
2. Draw a rectangle ABCD with sides 4 cm and 6 cm. Determine the perimeter of the rectangle.
3. Draw a CEOM square with a side of 5 cm. Determine the perimeter of the square.
Where is the calculation of the perimeter of a rectangle used?
1. A piece of land is given, it needs to be surrounded by a fence. How long will the fence be?
In this problem, it is necessary to accurately calculate the perimeter of the site in order not to buy extra material for building a fence.
2. The parents decided to renovate the children's room. You need to know the perimeter of the room and its area in order to correctly calculate the number of wallpapers.
Determine the length and width of the room you live in. Determine the perimeter of your room.
What is the area of a rectangle?
The area is the numerical characteristic of the figure.
The area is measured in square units of length: cm 2 , m 2 , dm 2 , etc. . To find the area of a rectangle, multiply the length of the rectangle by its width.
The area of the rectangle is calculated by multiplying the length of AK by the width of KM. Let's write this as a formula.
S AKMO = AK * KM
Example.
What is the area of rectangle AKMO if its sides are 7 cm and 2 cm?
S AKMO =AK*KM=7cm*2cm=14cm 2 .
Answer: 14 cm 2 .Square area formula
The area of a square can be determined by multiplying the side by itself.
Example.
In this example, the area of the square is calculated by multiplying side AB by width BC, but since they are equal, side AB is multiplied by AB.
S ABCO = AB * BC = AB * AB
Example.
Find the area of the square AKMO with side 8 cm.
