Question

A rectangle with a width of (5x+2) feet and a length of (2x-1) feet has an area of 100 square feet. What is the rectangle’s width and length?

Answer 1

w = 5x + 2
l = 2x - 1
wl = 100

(5x+2)(2x-1) = 100
10x^2 - x - 2 = 100
10x^2 - x - 102 = 0 <--this is a quadratic equation so use the quadratic formula
x = 3.24144...

w = 5(3.24) + 2 l = 2(3.24) - 1
width = 18.2 ft length = 5.48 ft