Area of a Trapezoid
The area of a trapezoid is the measure of the space enclosed within its boundaries
The area of a trapezoid is the measure of the space enclosed within its boundaries. A trapezoid is a quadrilateral with two parallel sides, called the bases, and two non-parallel sides, called the legs or lateral sides. To find the area of a trapezoid, you can use the following formula:
Area = (Base 1 + Base 2) × Height / 2
In this formula, Base 1 and Base 2 represent the lengths of the two parallel sides, and the height represents the perpendicular distance between the bases.
To apply this formula, follow these steps:
1. Determine the measurements of the bases and the height of the trapezoid. Make sure the bases are parallel, and the height is perpendicular to the bases.
2. Substitute the values of Base 1, Base 2, and the height into the formula.
3. Add the lengths of Base 1 and Base 2.
4. Multiply the sum of the bases by the height.
5. Divide the result by 2 to calculate the area of the trapezoid.
For example, let’s say you have a trapezoid with Base 1 measuring 8 units, Base 2 measuring 12 units, and a height of 6 units. Applying the formula, we get:
Area = (8 + 12) × 6 / 2
Area = 20 × 6 / 2
Area = 120 / 2
Area = 60 square units
Therefore, the area of the trapezoid is 60 square units.
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