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 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 gives the formula .

 

Step - by - Step Solution

1. Identify the values of the diagonals: Given and .

2. Apply the formula:

First, calculate the product of the diagonals: .

Then, find half of the product:

Click "Show Answer" to reveal the answer and analysis