SOLUTION: the area of a square is numerically 117 more than the perimeter. Find the length of the side.
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Question 660443: the area of a square is numerically 117 more than the perimeter. Find the length of the side.
Answer by kevwill(135) (Show Source): You can put this solution on YOUR website!
Let s be the length of a side of the square. Then the perimeter of the square is and the area is
Factoring this equation gives
So we have s = 13 or s = -9. Since the side of a square cannot have negative length, the side must be 13. The perimeter would be 52 and the area would be 169.
You could also use the quadratic equation to solve for s, with a=1, b=-4 and c=-117.
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