Question

Find the area of the trapezoid.A) 54 in^2B) 130 in^2C) 260 in^2D) 140 in^2

Answer 1

Hello there. To solve this question, we'll have to remember some properties about trapezoids.

Given a trapezoid with larger and smaller bases B and b, respectively, and height h (being the orthogonal projection of one of the bases onto another) as follows:

Its area A is given by the formula:

`A=((B+b)\cdot h)/(2)`

In the case of the question, we have a trapezoid with bases measuring 20 cm, 6 cm and height measuring 10 cm.

Plugging the values in the formula, we get:

`A=((20+6)\cdot10)/(2)=(260)/(2)=130\text{ cm}^2`

This is the area of this trapezoid.