SOLUTION: Using a quadratic equation (if possible) please solve the following: Find the side of a square room such that if its length and its width are each increased by 4 meters, the are

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Using a quadratic equation (if possible) please solve the following: Find the side of a square room such that if its length and its width are each increased by 4 meters, the are      Log On


   

Question 841881: Using a quadratic equation (if possible) please solve the following:
Find the side of a square room such that if its length and its width are each increased by 4 meters, the area is increased by 120 square meters.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Find the side highlight_green%28x%29of a square room such that if its length and its width are each increased by 4 meters, 

the area is increased by 120 square meters.  Note:  Area of the Square is x^2

(x+4)(x+4) = x^2 + 120

 x^2 + 8x + 16 = x^2 + 120

       8x = 104

        x = 13

CHECKING our answer***

  17^2 = 169 + 120 = 289

Wish You the Best in your Studies.