Question

Please help me with this word problem!

Suppose you lay exactly 160 feet of fencing around a rectangular garden. If the length of the garden is 3 times its width, find the dimensions of the garden.
Length: __ feet
Width: __ feet

Answer 1

Explanation:

the perimeter (the way one time around it) of a rectangle is

2×length + 2×width

length = 3×width

2×(3×width) + 2×width = 160

6×width + 2×width = 160

8×width = 160

width = 160/8 = 20 ft

length = 3×width = 3×20 = 60ft