SOLUTION: If the sides of a square are increased by 2 ​inches, the area becomes 49 square inches. Find the length of the sides of the original square.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If the sides of a square are increased by 2 ​inches, the area becomes 49 square inches. Find the length of the sides of the original square.      Log On


   

Question 1066958: If the sides of a square are increased by 2 ​inches, the area becomes 49 square inches. Find the length of the sides of the original square.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Same problem, different numbers.
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If the sides of a square are increased by 3 ​inches, the area becomes 81 square inches. Find the length of the sides of the original square.
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Area = 81
Find the length of the sides.
subtract 3.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%28x%2B2%29=49

x%5E2%2B4x%2B4-49=0

x%5E2%2B4x-45=0

%28x-5%29%28x%2B9%29=0

The answer which makes sense is x=5 for the side length of the original square.