What is the area of a rhombus with diagonals m and m?
Options
A
5
B
17
C
30
D
60
Answer & Analysis
Answer
C
Analysis
Question Analysis
The main focus is on applying the formula for the area of a rhombus using the given lengths of the diagonals and .
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 dividing the rhombus into four right - angled triangles and summing their areas.
Step - by - Step Solution
1. Identify the values of the diagonals:
Given m and m.
2. Apply the formula:
Substitute the values into the formula .
First, calculate :
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