Question

Find the area of the trapezoid shown.

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

Answer 1

43.5√3 sq. units

Explanation:

Hope this helps.

Answer 2

`Area = 43.5√(3) \: units^(2)`

EXPLANATION

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

`Area = (1)/(2) (sum \: of \: parallel \: sides) * h`

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

`\tan(60 \degree) = (h)/(3)`

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

`h = 3 √(3) \: units`

`Area = (1)/(2) (10 + 19) * 3 √(3)`

`Area = (1)/(2) (29) * 3 √(3)`

`Area = (87)/(2)√(3)`

`Area = 43.5√(3)`