Geometry

Question Analysis

The main focus is on using the formula for the area of a trapezoid to find the unknown height. Given the area and the lengths of the two bases, we need to rearrange the area formula to solve for the height.

Key Concept Explanation

The area  of a trapezoid is calculated by the formula , where  and  are the lengths of the bases and  is the height. To find , we can re - arrange the formula as . This rearrangement is based on algebraic operations to isolate the variable  on one side of the equation.

Step - by - Step Solution

1. Identify the formula for finding the height:

Start with the formula .

2. Substitute the given values:

Given , , and .

First, find the sum of the bases:

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