Problema Solution
A building contractor has been asked by a homeowner to build a family room.This family room will replace a square screened-in porch. The homeowner wants one side of the screened in porch triple and the adjacent side increased by 10. These changes will result in a rectangular family room that is 6 times the area of the screened-in porch. Find the original length of a side of the screened in porch.
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Answer provided by our tutors
Let 'x' represent the original length of a side of the square screened-in porch.
The dimensions of the new room will be: '3x' by 'x+10'.
The area of the new room is 6 times the area of the porch means:
3x*(x + 10) = 6x^2
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click here to see the equation solved for x
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x = 10
The original length of a side of the screened-in porch is 10.