# Trapezoid Area Formula

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A trapezoid is a geometric figure which has 4 sides and their 4 respective angles. In a trapezoid, there is one pair of parallel sides and one pair of non-parallel sides. A trapezoid is also known as ‘trapezium’ in certain countries. The area of a trapezoid can be calculated by first finding the sum of the lengths of the parallel sides and then multiplying this by half the height of the trapezoid. Using this formula, the area of any trapezoid can be easily calculated.

Example 1: Find the area of the trapezoid which has parallel sides of length 3m, 5m, and height 7m

Given: length of the parallel sides = ‘a’ and ‘b’

Height of trapezoid = h

The Area of the trapezoid is = 1/2 *(a + b)* h.

The value of a = 3m, b = 5m, h = 7m

This makes the solution = 1/2 * (8m) * 7m = 28m2

Therefore, area of the given trapezoid is 28m2

Example 2: Find the area of the trapezoid which has parallel sides of length 6m, 9m, and height 12m.

Given: length of the parallel sides = ‘a’ and ‘b’

Height of trapezoid = h

The Area of the trapezoid is = 1/2 *(a + b)* h.

The value of a = 6m, b = 9m, h = 12m

This makes the solution = 1/2 * (15m) * 12m = 90m2

Therefore, area of the given trapezoid is 90m2