Answer: 65
Step-by-step explanation: In this problem, we're given that the height of a trapezoid is 10 and the bases has lengths of 9 and 24 and we're asked to find the area of the trapezoid. Since we're given the lengths of the bases, let's use our formula for the area of a trapezoid which involves the bases.
Area of a trapezoid is shown at the bottom your screen.
Now plug the information into the formula.
Simplify inside parentheses first.
Then multiply 1/2 by 10 to get 5.
Then you have (5)(13) which is 65.
So the area of the trapezoid is 65.