The area of the given trapezoid ABCD in the image shown is calculated as: 54 units²
Area of a trapezoid = 1/2(a + b)h.
Given the following:
Area of triangle ACD = 1/2(AD)(CK) = 30 units²
1/2(10)(CK) = 30 units²
5(CK) = 30
CK = 6 units (altitude of trapezoid ABCD)
Area of the trapezoid = 1/2(a + b)h = 1/2(10 + 8)6
Area of the trapezoid = 54 units²
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