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: 
:
The max area of a rectangle is a square
A = {{{(50/4)^2}}}
A = 156.3 sq m
:
Area of circle with a perimeter of 50
Find the radius
{{{2*pi*r = 50}}}
r = {{{50/(2*pi)}}}
r = 7.96 m is the radius
find it's area
A = 199.1 sq m i