Exercise 46 Page 26

Let's calculate the perimeter and area separately.

Perimeter

In general, the perimeter of a figure is the sum of its side lengths. In this case, we have a square. A square has 4 equal sides, so we can find its perimeter using the following formula. P=a+a+a+a ⇔ P=4a In this formula, a is the length of each side. From the picture, we know that a is equal to 5cm. Substituting this value into the formula, we can calculate P.

P=4a

Substitute

a= 5

P=4( 5)

Multiply

Multiply

P=20

The square's perimeter is 20 centimeters.

Area

To find the area of the square, we will use the formula for calculating the area of a rectangle. A=l * w Since a square is a rectangle whose length l and width w are equal, we can adapt the formula for a square with side length s. A=l * w ⇒ A=s^2 We have been given that the side length s is equal to 5cm. To find the area of the square, we will substitute this value into the formula to calculate A.

A=s^2

Substitute

s= 5

A= 5^2

CalcPow

Calculate power

A=25

The area of the square is 25cm^2.