SOLUTION: 500 feet of fencing is available to enclose a rectangular lot along side of highway 65. Cal trans will supply the fencing for the side along the highway, so only 3 sides are needed
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Question 1150524: 500 feet of fencing is available to enclose a rectangular lot along side of highway 65. Cal trans will supply the fencing for the side along the highway, so only 3 sides are needed. What dimensions will produce an area of 40,000 square feet? What is the maximum area that can be enclosed?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the side perpendicular to the highway =
= the length of the side parallel to the highway
Let = the area of the lot
-----------------------------------
Use the formula for the vertex:
Plug this result back into equation
ft2
Since 40000 ft2 is greater than the maximum area
this can't be enclosed with 500 ft of fencing
Here's the plot:
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