Geometry

Question Analysis

The main focus is on using the formula for the area of a rhombus to calculate the area, given the lengths of its two diagonals.

 

Key Concept Explanation

The area of a rhombus (and also applicable to a kite) is given by the formula , where and are the lengths of the diagonals. This formula is derived from 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 results in .

 

Step - by - Step Solution

1. Identify the values of the diagonals: We have and .

2. Apply the formula:

First, find the product of the diagonals: