Question

Find the area of the trapezoid shown.

39√3 sq. units
43.5 sq. units
43.5√3 sq. units

Answer 1

ANSWER

$Area = 43.5\sqrt{3} \: units^{2}$

EXPLANATION

The area of the tra-pezoid is calculated using the formula

$Area = \frac{1}{2} (sum \: of \: parallel \: sides) \times h$

The value of h can be calculated using the right triangle.

$\tan(60 \degree) = \frac{h}{3}$

$h = 3 \tan(60 \degree)$

$h = 3 \sqrt{3} \: units$

$Area = \frac{1}{2} (10 + 19) \times 3 \sqrt{3}$

$Area = \frac{1}{2} (29) \times 3 \sqrt{3}$

$Area = \frac{87}{2}\sqrt{3}$

$Area = 43.5\sqrt{3}$

Answer 2

Answer:

43.5√3 sq. units

Step-by-step explanation:

Hope this helps.