The area of the irregular trapezoid is found using the formula Area = 1/ 2 h(a+b). The distance between the parallel sides is 4 m, so h = 4. It does not matter which sides are a and b as long as they are parallel. It does not matter what length the diagonal sides are in an irregular trapezoid as they do not affect the area.įor example, find the area of the irregular trapezoid shown. a and b are the two parallel sides and h is the distance between them. The area of an irregular trapezoid is found in the usual manner using Area = 1/ 2 h(a+b). The area is measured in cm 2 because the sides of the trapezoid are measured in cm. It is easier to halve 12 than 3 so we halve the 12 to get 6. We substitute the values of h = 3, a = 4 and b = 8 into the formula Area = 1/ 2 h(a+b). The distance between the parallel sides is 3 m. It does not matter which side is a and which side is b out of these two values. The two parallel side lengths are 4 m and 8 m. Its diagonal sides are the same size and it is symmetrical about its middle. To find the area of an isosceles trapezoid, use the formula Area = 1/ 2 h(a+b), where a and b are the lengths of the two parallel sides and h is the distance between them.įor example, here is an isosceles trapezoid. These diagonal side lengths do not affect the area. This becomes Area = 1/ 2 × 2 × 14 which equals 14 m 2.Īn isosceles trapezoid has diagonal sides that are the same length. To find the area, substitue the values of h = 2, a = 5 and b = 9 into Area = 1/ 2 h(a+b).Īrea = 1/ 2 h(a+b) becomes Area = 1/ 2 × 2 × (5 + 9) The distance between the parallel sides is 2 m and so, h = 2. It does not matter which side is a or which side is b. The two parallel sides are 5 m and 9 m, so a = 5 and b = 9. To find the area of a right-angled trapezoid, use the formula Area = 1/ 2 h(a+b), where a and b are the two parallel sides and h is the distance between them.įor example, calculate the area of the following right trapezoid. It can also be written as Area = 1/ 2 h(a+b) or Area = 1/ 2 (a+b)h.Īll of these formula are just rearrangements of the same formula and will give the same answer. The formula for the area of a trapezoid can also be written as Area = (a+b)/ 2 h. It does not matter which of the two parallel sides are labelled as a and b. The area formula becomes 4/ 2 (5+7) which equals 24 m 2. For example, if a trapezoid has parallel sides of 5m and 7m and a distance between them of 4m, then a = 5, b = 7 and h = 4. The formula for the area of a trapezoid is Area = h/ 2 (a+b), where a and b are the two parallel side lengths and h is the distance between them. This becomes Area = 1/ 2 × 16 × 4, which equals 32 m 2.
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