Exercise 19 Page 62

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=4aIn this formula, a is the length of each side. From the diagram, we know that a is equal to 6.5in. Substituting this value into the formula, we can calculate P.

P=4a

Substitute

a= 6.5

P=4( 6.5)

Multiply

Multiply

P=26

The square's perimeter is 26 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 have been given that the side length s is equal to 6.5in. To find the area of the square, we will substitute this value into the formula to calculate A.

A=s^2

Substitute

s= 6.5

A= 6.5^2

CalcPow

Calculate power

A=42.25

RoundDec

Round to 1 decimal place(s)

A ≈ 42.3

The area of the square is 42.3in^2.