The area of a trapezoid may be determined by using the formula A = (h/2)(a+b), where "A" stands for area, "h" stands for the height of the trapezoid, and &qu…

Question

The area of a trapezoid may be determined by using the formula A = (h/2)(a+b), where "A" stands for area, "h" stands for the height of the trapezoid, and "a" and "b" stand for the lengths of the bases of the trapezoid. If the height of the trapezoid is12 cm, a = 2 cm and b = 4 cm, what is the area of the trapezoid?

Answer 1

A = 36 cm²

Explanation:

Given

A =
`(h)/(2)`( a + b)

substitute h = 12, a = 2 and b = 4 into the formula, thus

A =
`(12)/(2)`(2 + 4) = 6(6) = 36 cm²