Question 1042997
Each piece is 48/2 = 24 ft long


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The equilateral triangle has side length of 24/3 = 8 feet. The area of this triangle is


A = (sqrt(3))/4*s^2
A = (sqrt(3))/4*8^2
A = (sqrt(3))/4*64
A = 16*sqrt(3)


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The circle has circumference of 24 ft, so C = 24


C = 2*pi*r
24 = 2*pi*r
12 = pi*r
r = 12/pi


The area of the circle is then
A = pi*r^2
A = pi*(12/pi)^2
A = 144/pi


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The combined area is the result of adding the two areas


(16*sqrt(3))+(144/pi)


The exact combined area is {{{(16*sqrt(3))+(144/pi)}}}


Using a calculator, (16*sqrt(3))+(144/pi) = 73.5494365315679


So the approximate combined area is 73.5494365315679