Geometry

Question Analysis

The main focus is on applying the formula for the area of a trapezoid to calculate the area using the given lengths of the bases and the height.

Key Concept Explanation

The area of a trapezoid is calculated by the formula , where and are the lengths of the two bases and is the height. This formula is derived from the fact that two identical trapezoids can be combined to form a parallelogram, and the area of the trapezoid is half of the parallelogram's area with the same height and  base - sum.

Step - by - Step Solution

1. Identify the values of the bases and height:

Given , , and .

2. Apply the formula:

First, find the sum of the bases:

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