Can Different Shapes Have The Same Perimeter?

by | Last updated on January 24, 2024

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Yes

, as others have demonstrated, you can have different shapes given the same area, perimeter, and number of segments.

Can 2 different shapes have the same perimeter?


Yes

, as others have demonstrated, you can have different shapes given the same area, perimeter, and number of segments.

Can a shape have the same perimeter but different 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.

What shapes have the same perimeter?

A two-dimensional equable shape (or

perfect shape

) is one whose area is numerically equal to its perimeter. For example, a right angled triangle with sides 5, 12 and 13 has area and perimeter both have a unitless numerical value of 30.

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.

What’s bigger perimeter or area?


The perimeter is always bigger except for one

(Shape G). … The area and perimeter are the same. The same happened if there you have a rectangle that has a length of 6 and a width of 3.

Which figure has lowest perimeter?

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

the square

.

Can two different polygons have both their area and perimeter equal?


Yes

, as others have demonstrated, you can have different shapes given the same area, perimeter, and number of segments.

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 do you introduce perimeter and area?

  1. Make an area and perimeter anchor chart. Start with an anchor chart! …
  2. Decorate your classroom. …
  3. Snack while you learn. …
  4. Pull out the pattern blocks. …
  5. Read Spaghetti and Meatballs for All! …
  6. Draw a Perimeter Person. …
  7. Make a math mosaic. …
  8. Explore area and perimeter with LEGO bricks.

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.

What is perimeter and area examples?

For example, your house has a fenced yard.

The perimeter is the length of the fence

. If the yard is 50 ft × 50 ft your fence is 200 ft long. The area is a measure of the space contained within an object.

What is the relationship between perimeter and area?

What is the difference between the perimeter and area of a shape?

The perimeter is the sum of all the side lengths of a shape. The area is the amount of two dimensional space a shape occupies

. Above is the graph of a square yard.

Which figure has the largest area?

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

the circle

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

What is the least perimeter of a rectangle?

Since there is no rule that states a rectangle cannot have all sides of equal length, all squares are rectangles, but not rectangles are squares. Hence, the minimum perimeter is

16 in with equal sides of 4 in

.

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.