Question

Find the area of the shaded region

Answer 1

Answer:

Step-by-step explanation:

Area of the Shaded region = area of the Trapezoid - Area of the triangle

Area of the Trapezoid

b1 = 14

b2 = 26

h = 15

Area = (b1 + b2 ) * h / 2

Area = (14 + 26) * 15/2

Area = 40 * 15/2

Area = 300 in^2

Area of the triangle

Area = 1/2 b * h

b = 26

h = 15 - 6

h = 9

Area = 1/2 * 26 * 9

Area = 117 in^2

Area of the shaded region

Area of the shaded region = 300 - 117

Area of shaded region = 183