Question

Find the area. [In square centimeters.]

Answer 1

Area = 18 cm^2

Explanation:

Main steps:

Step 1: Identify the shape

Step 2: Use the correct formula for Area

Step 1: Identify the shape

First, we must identify that the shape is a trapezoid. A trapezoid is a 4-sided shape that has one pair of parallel sides. The two sides that are parallel to each other are called the "bases".

Observe that the top line and the bottom line have an arrow on each of them which denotes that those two sides are parallel.

Therefore, the shape is a trapezoid.

Step 2: Use the correct formula for Area

The area of a trapezoid is given by the following formula:

`A_(Trapezoid) = (1)/(2)(b_1+b_2)h`, where b1 and b2 are the two "bases", and h is the height (the perpendicular distance between the two parallel sides). This amounts to finding the average of the two bases, and multiplying by the height.

`A_(Trapezoid) = (1)/(2)(b_1+b_2)h`

`A_(Trapezoid) = (1)/(2)((2 cm)+(4 cm))(6 cm)`

`A_(Trapezoid) = (1)/(2)(6 cm)(6 cm)`

`A_(Trapezoid) = 18 cm^2`