Question

The area of a rhombus is 84 m². If its perimeter is 40 m, then find its altitude.

Answer 1

Given:
 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.