Surface Area of a Trapezoid

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Trapezoid is a 2-dimensional geometric shape which has one pair of parallel sides and one pair of non-parallel sides. A trapezoid therefore has 4 angles and 4 sides. If the non-parallel sides are equal to each other in length, then the trapezoid is known as an isosceles trapezoid. Surface area of a trapezoid is the area of the trapezoid and the formula is given by half the product of the sum of the lengths of the parallel sides and the height.
 
Example 1: Find the area of the trapezoid which has parallel sides of length 6m, 4m, and height 5m

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 = 4m, h = 5m

This makes the solution = 1/2 * (10m) * 5m = 25m2

Therefore, area of the given trapezoid is 25m2

Example 2: Find the area of the trapezoid which has parallel sides of length 10m, 7m, and height 8m.

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 = 10m, b = 7m, h = 8m

This makes the solution = 1/2 * (17m) * 8m = 68m2

Therefore, area of the given trapezoid is 68m2
 

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