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Shkiper50 [21]
3 years ago
9

Please help me out with this

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

81.75 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h (a + b)

where a, b are the parallel bases and h is the perpendicular height

Calculate h using the right triangle and the sine ratio

sin30° = \frac{opposite }{hypotenuse} = \frac{h}{10}

Multiply both sides by 10

10 × sin30° = h, thus

h = 5

a = 12 and b = 8.7 + 12 = 20.7, hence

A = \frac{1}{2} × 5 × (12 + 20.7)

   = 0.5 × 5 ×32.7

   = 81.75 ft²

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