SOLUTION: A hobby gardner wishes to use 81ft of fencing to enclose a rectangular gardner and sub divide region into two smaller areas. If the total enclosed is 264 ft squared find the dimen

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Question 172995: A hobby gardner wishes to use 81ft of fencing to enclose a rectangular gardner and sub divide region into two smaller areas. If the total enclosed is 264 ft squared find the dimensions of the enclosed region.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A hobby gardner wishes to use 81 ft of fencing to enclose a rectangular gardner and sub divide region into two smaller areas. If the total enclosed is 264 ft squared find the dimensions of the enclosed region.
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Draw the picture of the rectangle with a vertical dividing line to create
the two smaller areas.
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Let the dividing line and 2 parallel sides be of length "x" ft.
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That leaves (81-3x) ft. of fencing for the top and the bottom sides.
Each of those sides will then be (81-3x)/2 ft. in length.
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The area will be [(81-3x)/2]*x = 265 sq. ft.
81x - 3x^2 = 530
3x^2 - 81x + 530 = 0
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x = [81 +- sqrt(81^2 -4*3*530)]/6
x = [81 +- sqrt(201)]6
Positive solution:
x = [81 + 14.18]/6 ft
x = 15.86 ft.
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Cheers,
Stan H.