Geometry

Question Analysis

The main focus is on using the formula for the area of a trapezoid to calculate the area by substituting the given values of the two 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 parallel bases and is the height between them. This formula is derived from the idea of combining two trapezoids to form a parallelogram, allowing us to relate the trapezoid's area to that of a more familiar shape.

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: .

Then, mul...