SOLUTION: what shape can i make with 16 yards of fencing??

Question 574788: what shape can i make with 16 yards of fencing??
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Theoretically, you could make any shape you want.
To get the absolute maximum fenced area, you would have to make a circle.
However, the most traditional shape made with fence is a rectangle.
The largest rectangular area that you could fence with 16 yards of fencing would be a 4 yard by 4 yard rectangle, with an area of 16 square yards. That is what most people would call a square, but a square is a special kind of rectangle.
Here are a few possible rectangles:

INVOLVING ALGEBRA
In a rectangle, if the perimeter is 16 yards, and the side lengths (in yards) are x and y,
2(x+y)=16 --> x+y=8 --> y=8-x
The area (in square yards) would be

Rearranging we get

Since , the maximum area will be 16 and will happen when
<--> <-->
OTHER SHAPES

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