Question

What is the area of the trapezoid shown below?​

Answer 1

The answer is seventy eight square units

Answer 2

78 sqr units

Explanation:

Use the Pythagorean Theorem to help find the base opposite the two.

The base of the second parallel line is sqrt( (15^2) - (12^2) ) = sqrt(81) = 9

The second base = 9 + 2 = 11

Area = (b1 + b2)*h/2

h = 12

b1 = 2

b2 = 11

h = 12

Area = (11 + 2)*12/2

Area = 13 * 12/2

Area = 78 square units