Tags Math and Arithmetic

Animals & Plants Arts & Entertainment Auto Beauty & Health Books and Literature Business Electronics Engineering & Technology Food & Drink History Hobbies Jobs & Education Law & Government Math People & Society Science Social Studies Sports Travel & Places

0

Subjects>Math>Math & Arithmetic

What are some rectangles with the area the same as the perimeter?

Anonymous

∙ 13y ago

Updated: 9/20/2023

A rectangle cannot really have the same area and perimeter because an area is a 2-dimensional concept while a perimeter is 1-dimensional.

However, you can have rectangles such that the numericalvalue of their area and perimeter are the same.

Take any number x > 2 and let y = 2x/(x-2)

Then a rectangle with sides of x and y has an area and perimeter whose value is 2x2/(x-2)

Wiki User

∙ 13y ago

Still curious? Ask our experts.

Chat with our AI personalities

Fran

I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.

Chat with Fran

Coach

Success isn't just about winning—it's about vision, patience, and playing the long game.

Chat with Coach

Steve

Knowledge is a journey, you know? We'll get there.

Chat with Steve

Add your answer:

Earn +20 pts

Q: What are some rectangles with the area the same as the perimeter?

Write your answer...

Submit

Still have questions?

imp

Continue Learning about Math & Arithmetic

Do some rectangles have 4 sides the same length?

Yes, they are called squares. Squares are a subset of rectangles.

What does perimeter and area have in common?

One thing that area and perimeter has in common is that they both measures some part of a shape

What jobs use perimeter and area?

Some of the jobs that use area and perimeter include surveying, drafting and construction.

What are some reasons for measuring area and perimeter?

Area and perimeter can be used for measuring things such as lawns (for lawn care) or an area of ground for cement (to order the cement)

How do you do perimeter and area of L?

Area: Find some of the lengths, then cut the L in half and work it out from there. Perimeter: Add all the lengths together.

Trending Questions

Who do you go to find out how much a coin is worth from another country? What is a dodecahedron used for? What is the conjugate of complex number -2? What is the first nine multiples of seven? What is 45 x 10 to the third power? What is a Linear Motion? Is forming a hypothesis is the same as solving a problem? What bones run parallel to each other? If you make 15.00 hour for 8 hours how much is that for a year? What were the 127 Jurisdictional Provences of King Ahassurus? How do you round 12.998 to the tenths place? What is the equation 7x equals 42? How To Write E Minor Scale? What is the derivative x to the second power? How many sq miles in the lower 48 states? What does the slash mean in mathematics? If work 48 hours a week at 30000 a year how much is that an hour? How do you write a2 - 18b? What does run on a position-time graph mean? Can 144 over 374 be simplified?

Related Questions

Do all rectangles with the same perimeter have the same area?

No. Here are four rectangles with the same perimeter:1 by 6 . . . . . perimeter = 14, area = 62 by 5 . . . . . perimeter = 14, area = 103 by 4 . . . . . perimeter = 14, area = 1231/2 by 31/2 . . perimeter = 14, area = 121/4With all the same perimeter . . . -- The nearer it is to being square, the more area it has.-- The longer and skinnier it is, the less area it has. If somebody gives you some wire fence and tells you to put it uparound the most possible area, your first choice is to put it up ina circle, and your second choice is to put it up in a square. Rectanglesare out, if you can avoid them.

Two rectangles have a perimeter of 16 inches Name two possible areas for each rectangle?

* It is unclear if the question is asking about two rectangles, each with a perimeter of 16, or two rectangles whose perimeters sum to 16. This answer assumes the former.Other than the 4x4 square, which coincidentally has both a perimeter and area of 16, some examples would be:1 x 7 rectangle : perimeter 16 in. , area 7 sq. in2 x 6 rectangle : perimeter 16 in., area 12 sq. in3 x 5 rectangle: perimeter 16 in., area 15 sq. inYou can calculate that for a given perimeter, the largest area is found in the square with a side measurement of P/4, i.e. the length and the width are the same.

If 2 rectangles have the same area will they always be similar?

No some times

What are some sketches of rectangles with a perimeter of 120?

10 by 50, 15 by 45, 20 by 40.

Why are area and perimeter not dependent on one another?

That's because you can easily have two different shapes with the SAME perimeter, and DIFFERENT areas, or vice versa. Here is an example:* A 2x2 rectangle has an area of 4, and a perimeter of 8. * A 1x3 rectangle has an area of 3, and a perimeter of 8. * A 0x4 rectangle has an area of 0, and a perimeter of 8. (If you don't like this rectangle, you can make one that is arbitrarily close, i.e., a very small width.) Note that for two SIMILAR figures, any linear measurements are proportional to the scale size, and any area measure is proportional to the square of the scale size - that will make the area proportional to the perimeter, but only for two similar shapes, e.g., two rectangles with the same length-to-width ratio.

Do the rectangular parallelogram both have the same area explain why or why not?

No. A rectangle and a parallelograms are desciptions of quadrilateral shapes. There is no indication of the size of either. So some rectangles are smaller than some parallelograms and some parallelograms are smaller than some rectangles.

What are the rectangles that have the same perimeter as area?

Perimeter is a length, and a length cannot be the same as an area.Ignoring the units, all rectangles that have the same numerical perimeter as area are those that satisfy:2 x (length + width) = length x widthwhich can be rearranged to give:width = 2 x length/(length - 2)Meaning that given any length over 2, a width can be found to give a rectangle that meets the requirement that its numerical perimeter is the same as its numerical area. (For a length greater than 0 and less than 2, the width would be negative and not possible; similarly for a length less than 0, the length is negative and not possible. When the length is 2, the width is undefined and so not possible. When the length is 0 the width is 0 and it is not a rectangle.)At some stage as the length increases, the length will equal the width and as the length continues to increase the rectangle then given will match the previous rectangles with the length and widths swapped. This occurs when:length = 2 x length/(length - 2)â&Dagger;’ length x (length - 4) = 0â&Dagger;’ length = 4.So, as long as the length is greater than or equal 4 it will be the longer side - the length, by convention, is the longer side. Thus all rectangles satisfy:width = 2 x length/(length - 2)with length â&permil;¥ 4, will have the numerical value of their perimeter the same as the numerical value of their area.For example:4 cm x 4 cm: perimeter = 16 cm, area = 16 cm25 cm x 31/3 cm: perimeter = 162/3 cm, area = 162/3 cm26 cm x 3 cm: perimeter = 18 cm, area = 18 cm241/2 cm x 33/5 cm: perimeter = 161/5 cm, area = 161/5 cm2etcNote: the first example is a square which is a rectangle with all the sides the same length.

Why won't squaring a side work with all rectangles to find the area?

Some rectangles don't have equal sides.

Do some rectangles have 4 sides the same length?

Yes, they are called squares. Squares are a subset of rectangles.

What jobs use perimeter and area?

Some of the jobs that use area and perimeter include surveying, drafting and construction.

What does perimeter and area have in common?

One thing that area and perimeter has in common is that they both measures some part of a shape

Explain how factors are related to rectangles?

Some people like to visualize factors as representing the lengths of sides of rectangles. In the same way that length times width equals area, factor times factor equals product.

Resources

Top Categories

Product

Company

Copyright ©2025 Infospace Holdings LLC, A System1 Company. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.