Exercise 42 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. A rectangle has two pairs of equal sides, so we can find its perimeter using the following formula. P=2l+2w In this formula, l is the length and w is the width. From the diagram, we know that l is equal to 6.2ft and w is equal to 3.1ft. Let's convert these measurements into inches before we find the perimeter. Remember, 1ft is equal to 12in. rc Length: & 12in/1ft* 6.2ft = 74.4in [0.8em] Width: & 12in/1ft* 3.1ft = 37.2in Now, we can substitute these values into the formula, we can calculate P.

P=2l+2w

SubstituteII

l= 74.4, w= 37.2

P=2( 74.4) + 2( 37.2)

Multiply

Multiply

P=148.8+74.4

AddTerms

Add terms

P=223.2

The rectangle's perimeter is 223.2 inches.

Area

To find the area of the square, we will use the formula for calculating the area of a rectangle. A=l * w We will substitute the same values, l= 74.4 and w= 37.2, into the formula to calculate A.

A=l * w

SubstituteII

l= 74.4, w= 37.2

A= 74.4 * 37.2

Multiply

Multiply

A=2767.68

RoundDec

Round to 1 decimal place(s)

A ≈ 2767.7

The area of the rectangle is approximately 2767.7 in^2.