SOLUTION: If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. Find the

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. Find the       Log On


   

Question 1123777: If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. Find the area of the original square.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x by x, the original square

%28x%2B15%29%28x-13%29=60

You can solve as quadratic equation, and use general solution for quadratic formula, or you could try factorizing the 60. Two factors differ by 28.


2 and 30?
system%28x%2B15=30%2Cand%2Cx-13=2%29
highlight%28x=15%29