# How to Calculate the Area of Trapezoids? (+FREE Worksheet!)

Learn more about trapezoids and how to calculate their areas by using the trapezoid area formula.

## Related Topics

- How to Find the volume and surface area of Rectangular Prisms
- How to Solve Triangles Problems
- How to Solve Pythagorean Theorem Problems
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## A step-by-step guide to calculating 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: \(A= \frac{1}{2}(20)(14+18)=10(32)=320\) \(cm^2\)

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### 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.

### Download Trapezoids Worksheet

- \(\color{blue}{28 \ cm^2}\)
- \(\color{blue}{100 \ m^2}\)
- \(\color{blue}{66 \ ft^2}\)
- \(\color{blue}{96 \ cm^2}\)

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