Question Details

Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm.

Options

A

40 cm2

B

41 cm2

C

43 cm2

D

42 cm2

Show Answer

Correct Answer :

Option B

41 cm2

Solution :

The correct answer is 41 cm2.

Step-by-Step Explanation:

1. Formula for the Area of a Rhombus:
The area of a rhombus given the lengths of its two diagonals is calculated using the formula:
Area=12×d1×d2
where d1 and d2 are the lengths of the diagonals.

2. Given Data:
Length of the first diagonal, d1=10 cm
Length of the second diagonal, d2=8.2 cm

3. Calculation:
Substitute the values into the area formula:
Area=12×10×8.2
Area=5×8.2
Area=41 cm2

Thus, the area of the rhombus is 41 cm2.

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