Posted by **Katrina** on Saturday, August 8, 2009 at 3:25pm.

A gardener has 40 feet of fencing with which to enclose a garden adjacent to a long existing wall. The gardener will use the wall for one side and the available fencing for the remaining three sides.

If the sides perpendicular to the wall have length x feet, which of the following (A, B, C, or D) represents the area A of the garden? (No explanation required) Choice:

A. A(x) = –2x^2 + 20x

B. A(x) = –2x^2 + 40x

C. A(x) = 2x^2 – 40x

D. A(x) = x^2 – 40x

I say it's B

and based on that

The parabola opens down? agree or not?

Vertex = (10,200)??

The maximum area is 200 sqft?

When the sides perpendicular to the wall have length x = 10ft.

and the side parallel to the wall has length 20ft.

Is this all correct and accurate? Thanks!

- Algebra Word Problem Help -
**bobpursley**, Saturday, August 8, 2009 at 3:53pm
Yes, that is still accurate.

- Algebra Word Problem Help -
**Ashley**, Monday, April 14, 2014 at 11:27am
Houston Community College is planning to construct a rectangular parking lot on land

bordered on one side by a highway. The plan is to use 640 ft of fencing to fence off the

other three sides. What should the dimensions of the lot be if the enclosed area is to be a

maximum?

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