Question

The length of a rectangle is 4 ft longer than its width. if the perimeter of the rectangle is 44 ft , find its area.

Answer 1

117 ft^2

Explanation:

The sum of the length and width is half the perimeter, so is 22 feet. If we let w represent the width of the rectangle, then w+4 is its length, and their total is ...

w + (w+4) = 22

2w = 18 . . . . subtract 4

w = 9 . . . . . . divide by 2

The area is ...

area = (9 ft)(9 ft + 4 ft) = 117 ft^2