Geometry

Question Analysis

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

 

Key Concept Explanation

The area of a kite (also applicable to a rhombus) is calculated by the formula , where and are the lengths of the two diagonals. This formula is derived because the diagonals of a kite are perpendicular to each other. The kite can be divided into two pairs of congruent right - angled triangles. Summing the areas of these triangles gives .

 

Step - by - Step Solution

1. Identify the diagonal values: Here, and .

2. Apply the formula:

First, find the product of the diagonals: .

Then, take half of the product:

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