Geometry

Question Analysis

The main focus is on applying the formula for the area of a rhombus to find the length of an 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 to solve for an unknown diagonal, we get . This is derived from basic algebraic manipulation to isolate the variable representing the unknown diagonal.

 

Step - by - Step Solution

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

2. Apply the formula:

First, calculate

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