Geometry

Question Analysis

The main focus is on applying the formula for the area of a rhombus to find the length of the unknown diagonal, using the given area and the length of one diagonal.

Key Concept Explanation

The area  of a rhombus (also applicable to a kite) is calculated by the formula , where  and  are the lengths of the two diagonals. By rearranging the formula, we can solve for an unknown diagonal: . This rearrangement is based on isolating the variable representing the missing diagonal through basic algebraic operations.

Step - by - Step Solution

1. Identify the known values: We know that  square yards and  yards.

2. Apply the formula:

First, calculate

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