Question

Find the area of the shaded region

A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2

Answer 1

D. 18 sq.ft

Explanation:

Lets make it simple and short.

Area of a triangle is 1/2 b h

b = 6

h = 6

Area = 1/2 * 6 * 6

Area = 18 sq.ft

Answer 2

The shaded area is 18 ft^2

Explanation:

First find the area of the total trapezoid

A = bh

A = 1/2 ( b1+b2) *h

= 1/2 ( 6+12) *6

= 1/2 ( 18)*6

=54

Now find the area of the triangle

A = 1/2 bh

= 1/2 ( 12) * 6

= 36

Subtract the triangle from the trapezoid

54-36

18

The shaded area is 18 ft^2