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

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) (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.
-----------------------------------------------------
Draw the picture of the rectangle with a vertical dividing line to create
the two smaller areas.
------------------------
Let the dividing line and 2 parallel sides be of length "x" ft.
-----------
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.
--------------------------------------------------------------
The area will be [(81-3x)/2]*x = 265 sq. ft.
81x - 3x^2 = 530
3x^2 - 81x + 530 = 0
---------------------------------------
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.
================
Cheers,
Stan H.
RELATED QUESTIONS
a gardener wishes to use 600 feet of fencing to enclose a rectangular region and... (answered by TimothyLamb)

A veterinarian wishes to use 132 feet of chain-link fencing to enclose a rectangular... (answered by jorel555)

A rancher wishes to use 86 ft of fencing to enclose a rectangular paddock and subdivide... (answered by ankor@dixie-net.com)

A veterinarian wishes to use 192 feet of chain-link fencing to enclose a rectangular... (answered by mykasha)

A veterinarian wishes to use 108 feet of chain-link fencing to enclose a rectangular... (answered by Alan3354)

a gardener wishes to use 600 feet of fencing to enclosd a rectangular region and... (answered by TimothyLamb)

A veterinarian wishes to use 168 feet of chain-link fencing to enclose a rectangular... (answered by Theo)

A veterinarian wishes to use 156 feet of chain-link fencing to enclose a rectangular... (answered by MathLover1,greenestamps)

A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that... (answered by stanbon)