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Area of a Trapezoid

Trapezoid Area Formula

The formula for area of a trapezoid is given as:

A = 12h(a + b)

Where A is the area, h is the height, a is the short base, and b is the long base.

area of a trapezoid

Example Problems

Problem 1:
The two bases of a trapezoid are 4 and 6 long. The height is 10. What is the area of the trapezoid?

1.) Plugging the given values into the area formula, we get:
A = 12h(a + b)
A = 12(10)(4 + 6) = (5)(10) = 50
2.) The area is 50.

Problem 2:
A trapezoid is made up of a square with an area of 10 and two congruent triangles with an area of 5 each. What is the area of the trapezoid?

1.) We have the area of all three shapes that compose the trapezoid. Therefore, we can add them together to find the trapezoid’s area.
A = a1 + a2 + a3
A = 10 + 5 + 5 = 20
3.) The trapezoid’s area is 20.

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