Question

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Is it possible to have a rectangular playground area made from 70 yards of fencing with an area of 324 square yards? Explain with calculations.

Answer 1

Not if it's rectangular.
The max area is a square --> sides = 17.5 yards
Area = 17.5^2 = 306.25 sq yds

If it's circular:
C = 2pi*r = 70
r = 35/pi yds
Area = pi*r^2 = pi*1225/pi^2 = 1225/pi sq yds
Area =~ 389.93 sq yds

Answer 2

Is it possible to have a playground area made from 70 yards of fencing with an area of 324 square yards? Explain with calculations