Suppose you need to put a fence around a rectangular garden that has a perimeter of 64ft. the width is 12ft less than the length. find the length and width of the garden

Perimeter of the rectangular garden as given in the question = 64 feet

Let us assume the length of the rectangular garden = x feet

Then

The width of the rectangular garden = x - 12 feet

So

Perimeter of the rectangular garden = 2 (length + width)

64 = 2 (x + x - 12)

64/2 = 2x - 12

32 = 2x - 12

32 + 12 = 2x

2x = 44

x = 44/2

= 22

So

The length of the rectangular garden = 22 feet

And

The width of the rectangular garden = x - 12 feet

= 22 - 12 feet

= 10 feet