Answer:
110 in²
Explanation:
The area of a trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h . . . . . . where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
In your problem, b1 and b2 are 13 in and 9 in, and h is 10 in. Putting these values into the formula, we find the area to be ...
A = (1/2)(13 in + 9 in)(10 in) = 110 in²
The area of the trapezoid is 110 square inches.
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First, we identify the appropriate formula to use for the geometry shown in the diagram.
Next, we determine from the diagram the values to use in the formula.
Last, we evaluate the formula and make a summary statement of results.