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Question
The area of a rhombus is 84 m2. If its perimeter is 40 m, then find its altitude.
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Solution
Area of the rhombus = 84 m2
Perimeter = 40 m
Now, we know: Perimeter of the rhombus = 4 x Side
\[ \therefore 40 = 4 \times\text{ Side }\]
\[\text{ Side }=\frac{40}{4}=10 m\]
Again, we know: Area of the rhombus = Side x Altitude
\[ \Rightarrow 84 = 10 \times \]Altitude
Altitude \[=\frac{84}{10}= 8.4 m\]
Hence, the altitude of the rhombus is 8.4 m.
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