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The area of rhombus whose diagonals are of lengths \( 10 \mathrm{~cm} \) and \( 8.2 \mathrm{~cm} \) is____
$41\ cm^2$
$82\ cm^2$
$410\ cm^2$
$820\ cm^2$
Given:
The diagonals of a rhombus are \( 10 \mathrm{~cm} \) and \( 8.2 \mathrm{~cm} \).
To do:
We have to find the area of the rhombus.
Solution:
We know that,
Area of a rhombus of diagonals of length $d_1$ and $d_2$ is $\frac{1}{2}\times d_1 \times d_2$.
Therefore,
The area of the given rhombus$=\frac{1}{2}\times10\times8.2\ cm^2$
$=\frac{82}{2}\ cm^2$
$=41\ cm^2$
Therefore, the area of the rhombus is $41\ cm^2$.
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