Question

A rectangular concrete patio has a perimeter of 32 meters and an area of 60 square meters.

What are the dimensions of the patio?

Answer 1

l = 10 meters

w = 6 meters

Explanation:

2l + 2w = 32 or

l + w = 16

lw = 60

l = 16-w

(16-w)(w) = 60

16w - w² = 60

w² - 16w + 60 = 0

(w - 6)(w - 10) = 0

w = 6

w = 10

dimensions are 6 by 10; width and length are interchangeable in this problem