Answer
length: 21 m; width: 5 m
Work Step by Step
Use the formula for perimeter, P = 2l + 2w.
We have P = 52, and we write the length in terms of its width, w.
l = 4w + 1
Rewrite equation in terms of w:
52 = 2(4w + 1) + 2w
Solve for w:
52 = 8w + 2 + 2w
52 = 10w + 2
50 = 10w
w = 5
l = 4w + 1 = 4(5) + 1 = 21