Geometry

Question Analysis

The main focus is on using the area formula for a trapezoid to determine the unknown height. Given the area and the lengths of the two bases, we must rearrange the formula to isolate and 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 relevant formula:

Start with the re - arranged formula .

2. Substitute the given values:

Given  square yards,  yards, and

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