# How many shapes have the same area and perimeter?

## How many shapes have the same area and 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.

## Can the area and the perimeter be the same?

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. Yes you can draw a the shape in which the perimeter is numerically twice the area, it is a 2 by 2 square, because the area is 4cm^2 and the perimeter is 8cm.

Do all rectangles with an area of 24 units have the same perimeter?

so.. it cannot be same. the perimeters may be same but the area cannot.

### What is the perimeter formula?

Perimeter, Area, and Volume

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.

### Can 2 rectangles have the same perimeter but different areas?

Objective: Students will discover that multiple rectangles can have the same perimeter, yet their area can be different.

What is the similarities of perimeter and area?

In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary….Comparison chart.

Area Perimeter
Circle πr², where r is the radius of the circle. 2πr, where r is the radius

## What is perimeter example?

The perimeter is the distance around the object. 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.

## What is perimeter area?

About Transcript. Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

How do you compare perimeter and area?

What is the Difference Between Area and Perimeter?

Area Perimeter
Area refers to the space occupied by a shape or an object or a surface. Perimeter refers to the measure of the length of the outline or boundary of a shape, an object or a surface.

### What is perimeter and area?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

### Where is perimeter used?

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 many rectangles have the same area and perimeter?

Rectangles that measure 5×5 and 50× 1 2 have the same area (25) but very different perimeters. Rectangles that measure 8×2 and 5×5 have the same perimeter (20) but different areas. minimum perimeter. The quadrilateral with the smallest perimeter for a given area is a square.

## When do two rectangles have the same proportions?

Consider two rectangles: the first has a pair of parallel sides, “a”, and the other pair of parallel sides, “b”; similarly, the sides of the second rectangle are “A” and “B”. For these two rectangles to be congruent, they must have the same proportions which means that the ratio of a/b = A/B.

## Which is larger a rectangle or a square?

No. For any pair of similar figures, the one with the larger perimeter/circumference will have the larger area. Among similar figures, when the perimeter increases, all sides increase in length, so the area increases as well. All squares are similar, but not all rectangles are.