How to Find the Area of a Trapezoid: Step-by-Step Guide and Formula

Area (Trapezoi. d)

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

Area = (1/2) * (base1 + base2) * height

Let’s break down the formula and explain each part:

1

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

Area = (1/2) * (base1 + base2) * height

Let’s break down the formula and explain each part:

1. Base1 and Base2: These are the lengths of the parallel sides of the trapezoid. They can be any pair of sides in the trapezoid, but they should be parallel to each other.

2. Height: The height of a trapezoid is the perpendicular distance between the bases. It should be a line segment that connects the two bases and is perpendicular to both of them.

To apply the formula, follow these steps:

Step 1: Measure the lengths of the two parallel bases, base1 and base2.

Step 2: Measure the distance between the two bases to find the height.

Step 3: Substitute the values into the formula.

Step 4: Multiply the summation of the two bases by the height.

Step 5: Divide the result by 2 to find the final area.

Let’s work through an example:

Suppose we have a trapezoid where base1 measures 8 units, base2 measures 14 units, and the height is 6 units.

Using the formula:

Area = (1/2) * (base1 + base2) * height

Area = (1/2) * (8 + 14) * 6

Area = (1/2) * (22) * 6

Area = 11 * 6

Area = 66 square units

Therefore, the area of the trapezoid is 66 square units.

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