Can A Shape Have The Same Perimeter But Different Area?

by | Last updated on January 24, 2024

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In this lesson you will learn that

rectangles

can have the same perimeter but different area by building rectangles and organizing information in a chart. CCSS.

Can we have two distinct rectangles having same perimeter?

Answer:

no

if perimeter of rectangle is equal then their areas might not be equal. no two different squares can not have same perimeter .

Can you have the same perimeter but different area?

Rectangles that

measure 8 × 2 and 5 × 5

have the same perimeter (20) but different areas. An increase in area is connected to an increase in the minimum perimeter. The quadrilateral with the smallest perimeter for a given area is a square. and a = 2(1+ r) r .

What is the perimeter formula?

Table 1 . Perimeter Formulas Shape Formula Variables Square

P=

4s s is the length of the side of the square.
Rectangle P=2L+2W L and W are the lengths of the rectangle’s sides (length and width). Triangle a+b+c a,b , and c are the side lengths.

How do you teach the same perimeter and area?

In this lesson you will learn that

rectangles

can have the same perimeter but different area by building rectangles and organizing information in a chart. CCSS.

How do you find the perimeter with the area?

To get the perimeter from the area for a square,

multiply the square root of the area times 4

. Perimeter is always measured in linear units, which is derived from the area’s square units.

Which figure has lowest perimeter?

Proven many times: The rectangle with the greatest area and the smallest perimeter is

the square

.

What is a perimeter in math?

The perimeter is

the total measurement of all the edges of a shape

e.g. a triangle has three edges, so its perimeter is the total of those three edges added together. … The perimeter of a rectangle can be calculated by adding the length and width together and doubling it.

How is perimeter used in everyday life?

We often find the perimeter

when putting up Christmas lights around the house or fencing the backyard garden

. Other examples may include finding the total length of the boundary of the soccer field or the length of the crochet or ribbon required to cover the border of a table mat.

How do I find the perimeter and area of a rectangle?

The perimeter P of a rectangle is given by the formula,

P=2l+2w

, where l is the length and w is the width of the rectangle. The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

How do you find the minimum perimeter of an area?

How to Find the Area and Perimeter of a Triangle? The area of a triangle can be calculated with the help of the formula:

A = 1/2 (b × h)

. The perimeter of a triangle can be calculated by adding the lengths of all the three sides of the triangle.

Which shape has the best perimeter zones?

The shape which has the largest area with a fixed perimeter is

the circle

, in comparison to the triangle, square and other polygons.

Which figure has the smallest area?

The geometrical shape that has the smallest surface area to volume ratio

David Martineau
Author
David Martineau
David is an interior designer and home improvement expert. With a degree in architecture, David has worked on various renovation projects and has written for several home and garden publications. David's expertise in decorating, renovation, and repair will help you create your dream home.