Question

A local rectangular patio that originally measured 5 feet by 10 feet was extended on one side each by x feet. The area of the new, larger, L-shaped extension is 126 square feet.

Write an equation that could be used to solve for x.

Explain how you arrived at your equation, i.e. how does it model the situation stated.

Find the value of x by solving your equation. Show your work.

Answer 1

x=4

Explanation:

(5+x)(10+x)=126

50+5x+10x+x^2 = 126

x^2 + 15x +50=126

x^2 + 15x - 76 = 0

(x+19)(x-4) = 0

X=-19, 4

X=-19 is not possible

x=4