Question

What is the area of this trapezoid?

Answer 1

Area of the trapezoid = 148 inch²

Solution:

Base of the bottom side (AB) = 14 in

Base of the top side (DC) = DF + FE + EC

                                          = 3 in + 14 in + 6 in

                                          = 23 inch

Height of the trapezoid (BE) = 8 in

Parallel sides of the trapezoid are DC and AB.

To find the area of the trapezoid:

Area of the trapezoid = $\frac{1}{2}\times \text{Sum of the parallel sides}\times \text{Height}$

                                    $=\frac{1}{2}\times({DC+AB})\times{BE}$

                                    $=\frac{1}{2}\times{(23+14)}\times{8}$

                                    $=\frac{1}{2}\times{37}\times{8}$

                                    $=148$

Area of the trapezoid = 148 inch