Question

Question 1 (1 point)

Answer 1

Answer:

95.875 $ft^{2}$

Step-by-step explanation:

1.) Calculate the area of the trapezoid

A(trapezoid) = (1/2)*(base1 + base2)*h = (1/2)*(2.6+3.6)*3 = (1/2)*6.2*3 = 9.3

2.) Calculate the area of the circle

radius = (1/2)*(diameter) = (1/2)*1 = 0.5

A(circle) = (1/2)*$\pi$*$r^{2}$ = (1/2)*$\pi$*($0.5^{2}$) = (1/2)*$\pi$*0.25 = 0.125*$\pi$ = 0.392699

3.) Because the area of the circle is not included in the wall, subtract the area of the circle from the area of the trapezoid:

A(trapezoid)-A(circle) = 9.3-0.392699 = 8.9073 $m^{2}$

4.) Convert to $ft^{2}$:

Because 3.2808 feet are in a meter and the unit of the answer is in $m^{2}$, we need to multiply the answer by ($3.2808^{2}$) to get to $ft^{2}$.

8.9073*($3.2808^{2}$) = 8.9073*10.7636 = 95.875 $ft^{2}$