Calculating the Area of a Trapezoid: Step-by-Step Guide with Formula and Example

Area of a trapezoid

To find the area of a trapezoid, you can use the formula:

Area = (a + b) / 2 * h

where a and b are the lengths of the parallel sides (also called the bases) and h is the perpendicular height of the trapezoid

To find the area of a trapezoid, you can use the formula:

Area = (a + b) / 2 * h

where a and b are the lengths of the parallel sides (also called the bases) and h is the perpendicular height of the trapezoid.

Here’s a step-by-step example to illustrate how to find the area of a trapezoid:

1. Identify the lengths of the parallel sides (bases) and the perpendicular height of the trapezoid. For example, let’s say the length of the top parallel side is 4 cm, the length of the bottom parallel side is 8 cm, and the height is 6 cm.

2. Plug the values into the formula:

Area = (4 + 8) / 2 * 6

3. Calculate the sum of the lengths of the parallel sides (bases):

4 + 8 = 12

4. Divide the sum by 2:

12 / 2 = 6

5. Multiply the result by the perpendicular height:

6 * 6 = 36

Therefore, the area of the trapezoid is 36 square centimeters.

It’s important to note that the measurements you use must be in the same unit, such as centimeters or inches, for consistent results. Also, if the trapezoid is not a right trapezoid (having one right angle), you may need to use different methods to find the area.

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