Geometry

Question Analysis

The main focus is on applying the formula for the area of a rhombus using the given lengths of its diagonals.

 

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. This formula is based on the fact that the diagonals of a rhombus are perpendicular bisectors of each other, dividing the rhombus into four right - angled triangles. Summing the areas of these four triangles leads to .

 

Step - by - Step Solution

1. Identify the diagonal values: Here, and .

2. Apply the formula:

First, find the product of the diagonals:

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