SOLUTION: If the sides of a square are increased by 3 inches, the area becomes 64 square inches. Find the length of the sides of the original square. one square is x and the other is x+3

Question 211502This question is from textbook Beginning & Intermediate Algebra
: If the sides of a square are increased by 3 inches, the area becomes 64 square inches. Find the length of the sides of the original square.
one square is x and the other is x+3 This question is from textbook Beginning & Intermediate Algebra

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the sides of a square are increased by 3 inches, the area becomes 64 square inches. Find the length of the sides of the original square.
one square is x and the other is x+3
:
(x+3)*(x+3) = 64
FOIL
x^2 + 6x + 9 = 64
:
x^2 + 6x + 9 - 64 = 0
:
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
Positive solution
x = 5 inches side of original square
:
:
Check (5 + 3)^2 = 64
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