Question

Hanna's dad is designing a new rectangular garden for his backyard. He has a 20ft fence to put around the garden. He wants the length of the garden to be 2 1/2 longer than its width. What must the width of the garden be?

Answer 1

3 3/4 feet

Explanation:

Given

Perimeter of the garden = 20ft

If he wants the length of the garden to be 2 1/2 longer than its width, then;

L = 2 1/2 + W

L is the length

W is the width

Perimeter of the garden = 2(L+W)

P20 = 2(5/2 + W+W)

20 = 5 + 2W+2W

20 - 5 = 4W

15 = 4W

W = 15/4

W = 3 3/4 ft

Hence the width of the garden is 3 3/4 feet