November 30, 2015

Homework Help: Algebra Word Problem Help

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!

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