Answer:1300 - 200π as an exact answer, or671.68 units² if you use a calculatorStep-by-step explanation:We have a trapezoid with half of a circle cut out of it. First we will calculate the area of the full trapezoid, then subtract the area of the semi circle...The area of a trapezoid is A = (1/2)(B + b)h Area is one-half of the sum of the bases times the heightThe bases are 80 and 50, it doesn't matter which one you call B or b. The height is the radius of the semi circle, which is 20, so we haveA = (1/2)(80 + 50)(20) A = (1/2)(130)(20) A = (1/2)(2600) A = 1300 cm²The area for a semi circle is A = (πr²)/2 so we have A = (π(20²))/2 A = (400π)/2 A = 200πSo the are of the figure is 1300 - 200π units² as an exact answer, or671.68 units² if you use a calculator