Exercise 41 Page 63

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 diagram, we know that a is equal to 0.75yd. First let's convert this value into inches. To do this, recall that 1 yard is 36 inches. 36in/1 yd* 0.75yd =27in The side length is 27 inches. Substituting this value into the formula, we can calculate P.

P=4a

Substitute

a= 27

P=4( 27)

Multiply

Multiply

P=108

The square's perimeter is 108 inches.

Area

To find the area of the square, we will use the formula for calculating the area of a square. A=s^2 We know that the side length s is equal to 27inches. To find the area of the square, we will substitute this value into the formula to calculate A.

A=s^2

Substitute

s= 27

A= 27^2

CalcPow

Calculate power

A=729

The area of the square is 729in^2.