SOLUTION: Sam is creating a fenced area in his backyard. He has enough fence for a perimeter of 50 m. He wants to make the biggest area possible, using either a rectangular or a circular ar

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Question 1195576: Sam is creating a fenced area in his backyard. He has enough fence for a perimeter of 50 m.
He wants to make the biggest area possible, using either a rectangular or a circular area.
Determine the maximum area contained by both and conclude which design he should go
with. Round to one decimal place
Rectangular design: Circular Design:

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Sam is creating a fenced area in his backyard. He has enough fence for a perimeter of 50 m.
He wants to make the biggest area possible, using either a rectangular or a circular area.
Determine the maximum area contained by both and conclude which design he should go with.
Round to one decimal place
Rectangular design: Circular Design:
:
The max area of a rectangle is a square
A = %2850%2F4%29%5E2
A = 156.3 sq m
:
Area of circle with a perimeter of 50
Find the radius
2%2Api%2Ar+=+50
r = 50%2F%282%2Api%29
r = 7.96 m is the radius
find it's area
A = 199.1 sq m i