SOLUTION: The number of square feet in the area of a square is 5 more than the number of feet in the perimeter of the square. Find the length of a side.
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-> SOLUTION: The number of square feet in the area of a square is 5 more than the number of feet in the perimeter of the square. Find the length of a side.
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Question 180246: The number of square feet in the area of a square is 5 more than the number of feet in the perimeter of the square. Find the length of a side. Answer by solver91311(24713) (Show Source):
Let the side of the square be s. Then the area is s² and the perimeter is 4s. But we know the area to be 5 larger than the perimeter, so:
In standard form:
Factor:
So:
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or
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Exclude the second root because -1 for the length of the side of a square is absurd. It is an extraneous root caused by squaring the variable while solving the problem. That leaves
Check:
The area of a square with side length 5 is 25. The perimeter of a square with side length 5 is 20. 25 is 5 larger than 20. Checks.
