#### Question

The area of a rhombus is 84 m^{2}. If its perimeter is 40 m, then find its altitude.

#### Solution

Given:

Area of the rhombus = 84 m

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.

Area of the rhombus = 84 m

^{2}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.

Is there an error in this question or solution?

Solution The Area of a Rhombus is 84 M2. If Its Perimeter is 40 M, Then Find Its Altitude. Concept: Area of a Polygon.