SOLUTION: A gardener has 270 feet of fencing and wants to fence in a rectangular garden and then divide it into two plots with a piece of fencing parallel to one pair of sides. If the di

Question 906014: A gardener has 270 feet of fencing and wants to fence in a rectangular garden and then divide it into two plots with a piece of fencing parallel to one pair of sides.
If the dividing fence is x feet long, and y is the length of the side perpendicular to the dividing fence, write an equation for the total amount of fencing used in terms of x and y.
Fencing =
Write the area A of the garden as a function of x.
A(x) =
What are the dimensions of the largest garden (in area) that the gardener can enclose?
Width =
Length =
Please provide inches or feet
Thank you
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
The gardener has then 3 lengths of x and 2 lengths of y. The fence material is distributed as .

A(x)? The area.
.
Use the fence length account equation to eliminate y.

.

You can find the maximum area if you want; set and solve for x.
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