SOLUTION: A family wants to build a fence around a rectangular area of their backyard using their house as one side of the rectangle. The family has $2400 to spend on the fence and is consid
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Question 1092840: A family wants to build a fence around a rectangular area of their backyard using their house as one side of the rectangle. The family has $2400 to spend on the fence and is considering using either a fence that costs $50 a yard or a fence that cost $60 a yard.
Suppose the family builds the fence using the $60 yard fence. Let x be the width of the enclosed rectangle. Using a function for the area of the enclosed rectangle, find the maximum area.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
yd of fence
= width
= length
Let = area
The x-value for the maximum area is
given by the formula:
yds
----------------------------
Plug this result back into equation to get
yd2
--------------------------
Here's the plot of the Area function:
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