Geometry

Question Analysis

The main focus is on using the area formula for a rhombus to determine the length of the unknown diagonal, given the area of the rhombus 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. Rearranging this formula gives , allowing us to find the missing diagonal when the area and one diagonal's length are known.

Step - by - Step Solution

1. Identify the known values: We have  square inches and  inches.

2. Apply the formula:

First, calculate

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