a rectangular patio measures 20 feet by 30 feet. by adding x feet to the width and x feet to the length, the area is doubled.

Question

find the new dimensions

Answer 1

(x + 20)(x + 30) = 1200

x² + 50x + 600 = 1200

x² +50x - 600 = 0

(x + 60)(x - 10) = 0

 

x + 60 = 0

x = -60

We don't measure in negative numbers, so we disregard this answer.

 

x - 10 = 0

x = 10

 

The patio is now 30 ft x 40 ft.