## How to Calculate the Area of Trapezoids

### Area of Trapezoids

A trapezoid’s area is the region encompassed inside the perimeter.

### Formula for the Aera of a Trapezoid

A trapezoid’s area, A, is:

$$A \ = \ \frac{1}{2} \ h(b_1 \ + \ b_2)$$

when $$h$$ is the height and $$b_1$$ and $$b_2$$ are the base lengths.

### Formula for the Aera of a Trapezoid utilizing the Midsegment

A trapezoid’s midsegment is a line segment linking the midpoint of the legs. A midsegment has a length which equals the mean of its $$2$$ bases, which equals:

$$m \ = \ \frac{1}{2} \ (b_1 \ + \ b_2)$$

A trapezoid’s area, $$A$$, utilizing the midsegment’s length is:

$$A \ = \ h \times m$$

### Exercises for Area of Trapezoids

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1) $$\ \color{red}{100 \ m^2}$$
2) $$\ \color{red}{84 \ m^2}$$
3) $$\ \color{red}{117 \ m^2}$$
4) $$\ \color{red}{48 \ m^2}$$
5) $$\ \color{red}{99 \ m^2}$$
6) $$\ \color{red}{126 \ m^2}$$
7) $$\ \color{red}{72 \ m^2}$$
8) $$\ \color{red}{68 \ m^2}$$
9) $$\ \color{red}{135 \ m^2}$$
10) $$\ \color{red}{96 \ m^2}$$

## Area of Trapezoids Practice Quiz

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