If the perimeter of a rectangular garden is equal to 64 meters squared and we know that the width is one third of the length, find the width and length of the garden.

Answer 1

W=L/3

width = 1/3 the length

multiply both sides by 3

L=3W

perimeter = 64 = twice length + width

2L+2W = 64

divide by 2

L+W = 32

substitute 3W for L

3W +W = 32

add like terms

4W = 32

divide by 4

W = 32/4 = 9 meters wide

L =3W = 27 meters long