Geometry

Question Analysis

The main focus is on using the area formula for a rhombus to find the length of an unknown diagonal, given the 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. We can rearrange this formula to solve for an unknown diagonal:  (or vice versa). This rearrangement is based on basic algebraic manipulation of the original area formula.

Step - by - Step Solution

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

2. Apply the rearranged formula:

Substitute the values into the formula

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