Algebra 1 Word Problem

Question

The perimeter of a rectangle is 42 ft. The area of the rectangle is 108 ft^2. Create and solve an equation to find the dimensions of the rectangle.

Answer 1

2l + 2w = 42

2(l + w) = 42

l + w = 21

l = 21 - w

lw = 108

w(21 - w) = 108

21w - w² = 108

w² - 21w + 108 = 0