SOLUTION: A rectangle is formed from a square by adding 6m to one side and 3m to the other side. the area of the rectangle is 238m squared.find the dimensions of the original Square

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A rectangle is formed from a square by adding 6m to one side and 3m to the other side. the area of the rectangle is 238m squared.find the dimensions of the original Square       Log On


   

Question 1114876: A rectangle is formed from a square by adding 6m to one side and 3m to the other side. the area of the rectangle is 238m squared.find the dimensions of the original Square
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B6%29%28x%2B3%29=238

The two factors on the left side differ by 3 units. Might or might not help.
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x%5E2%2B9x%2B18=238
x%5E2%2B9x-220=0
x=%28-9%2B-+sqrt%2881%2B4%2A220%29%29%2F2
x=%28-9%2B-+sqrt%28961%29%29%2F2
x=%28-9%2B31%29%2F2
highlight%28x=11%29