Exercise 51 Page 634

Let's calculate the perimeter and area of the given figure separately. Notice that because pairs of its opposite sides are congruent, and one of the angles is a right angle, we have a rectangle.

Perimeter

We are asked to find the perimeter of the rectangle. We can find its perimeter using the following formula. P=2l+2wIn this formula, l is the length and w is the width. From the picture, we know that l is equal to 4m, and w is equal to 8m.

P=2l+2w

SubstituteII

l= 4, w= 8

P=2( 4)+2( 8)

Multiply

Multiply

P=8+16

AddTerms

Add terms

P=24

The rectangle's perimeter is 24 meters.

Area

To find the area of the figure, we will use the formula for calculating the area of a rectangle. A=l * w We will substitute the given measurements, l= 4 and w= 8m, into the formula to calculate A.

A=l* w

SubstituteII

l= 4, w= 8

A= 4( 8)

Multiply

Multiply

A=32

The area of the rectangle is 32m^2.