Area Of A Trapezoid Formula

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A trapezoid is a 4-sided geometric figure which has one pair of the opposite sides parallel to each other. If the non-parallel pair of sides are equal to each other, then that trapezoid is called an Isosceles trapezoid. Area of a trapezoid is the entire region covered inside the trapezoid and it can be calculated using its area formula.

Example 1: Calculate the area of the trapezoid if given the lengths of the parallel sides are 5m and 9m and the height of the trapezoid is 6m.
The lengths of the parallel sides are also called as the base lengths of the trapezoid.



Hence, base lengths ‘a’ and ‘b’ are 5m and 9m.            

Given height of the trapezoid, h = 6m

Area of the trapezoid, A = 1/2 * (Sum of base lengths) * height

Area, A = 1/2 * (a + b) * h= 1/2* (5m + 9m)* 6m = 1/2 * 14m * 6m = 42m2

Area of the trapezoid, A = 42m2


Example 2: Calculate the area of the trapezoid if given the base lengths of the parallel sides are 12m and 7m and the

height of the trapezoid is 10m.


Given are the base lengths of the trapezoid, ‘a’ and ‘b’ are 12m and 7m.

Given height of the trapezoid, h = 10m

Area of the trapezoid, A = 1/2 * (Sum of base lengths) * height

Area, A = 1/2 * (a + b) * h

Area, A = 1/2* (12m + 7m)* 10m= 1/2 * 19m * 10m = 95m2

Area of the trapezoid, A = 95m2


 


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