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 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 the formula to solve for the unknown diagonal gives , which is derived from basic algebraic operations to isolate the variable representing the missing diagonal.

Step - by - Step Solution

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

2. Apply the formula:

First, calculate

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