SOLUTION: You are building a right-angled triangular flower garden along a stream as shown in the figure. The fencing of the left border costs $5 per foot, while the fencing of the lower bor

Question 863972: You are building a right-angled triangular flower garden along a stream as shown in the figure. The fencing of the left border costs $5 per foot, while the fencing of the lower border costs $1 per foot. (No fencing is required along the river.) You want to spend $80 and enclose as much area as possible. What are the dimensions of your garden, and what area does it enclose? HINT [The area of a right-triangle is given by A = xy/2.]
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Let x be the left side and y be the bottom side.

Accounting for cost, .
Accounting for area, which you already did, .
Find A in terms of either variable x or y, and simplify.

from cost accounting.

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Factoring this will make x intercepts easy to find, and the maximum A will be the midpoint of the x intercept value.

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x=0 OR (5/2)x=40, x=80/5=16
OR
Maximum value of x is 8=x.
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According to the 80 dollar restriction, the maximum area occurs for and .
AREA QUANTITY : square feet.
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