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AnnyKZ [126]
3 years ago
10

Question 1 (1 point)

Mathematics
1 answer:
natita [175]3 years ago
8 0

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}

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