Geometry

Question Analysis

The main focus is on using the area formula of a trapezoid to find the unknown height. Given the area and lengths of the two bases, we must rearrange the 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  through algebraic operations.

Step - by - Step Solution

1. Identify the formula for finding the height:

Use the formula .

2. Substitute the given values:

Given  square yards,  yards, and  yards.

First, calculate the sum of the bases:

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