# How Calculate the Area of Trapezoids

## Step by step guide to calculate the area of Trapezoids

• A quadrilateral with at least one pair of parallel sides is a trapezoid.
• Area of a trapezoid $$= \color{blue}{\frac{1}{2} h(b_{1}+b_{2})}$$

### Area of Trapezoids – Example 1:

Calculate the area of the trapezoid.

Solution:

Use trapezoid area formula: $$A= \frac{1}{2} h(b_{1}+b_{2 })$$
$$b_{1}=14 cm , b_{2}=18$$ cm and $$h=20$$ cm
Then: $$A= \frac{1}{2}(20)(14+18)=10(32)=320$$ cm$$^2$$

### Area of Trapezoids – Example 2:

Calculate the area of the trapezoid.

Solution::

Use trapezoid area formula: $$A= \frac{1}{2} h(b_{1}+b_{2 })$$
$$b_{1}=12 cm , b_{2}=16$$ cm and $$h=18$$ cm
Then: $$A= \frac{1}{2}(18)(12+16)=9(28)=252$$ cm$$^2$$

## Exercises for Calculating Area of Trapezoids

### Calculate the area for each trapezoid.

1. $$\color{blue}{28 \ cm^2}$$
2. $$\color{blue}{100 \ m^2}$$
3. $$\color{blue}{66 \ ft^2}$$
4. $$\color{blue}{96 \ cm^2}$$

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