Question

Please help me out with this

Answer 1

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