Question

# Find the altitude of a rhombus whose area is 30 cm2 and perimeter is 0.24 m.

Hint:A rhombus is a quadrilateral with all sides equal, so the perimeter is 4a and the area of a rhombus is given by, Area = base * height.

Area of the rhombus is $30c{m^2}$.
Perimeter of the rhombus is $0.24m = 24cm$.
So, we know that the perimeter is, $P = 4a$.
$P = 4a \\ \Rightarrow 24 = 4a \\ \Rightarrow a = 6cm \\$
Now, the area of rhombus is given by, $A = base \times height$, where A is the area of the rhombus.
Now, we know $base = 6 cm$ , A = $30 cm^2$, putting these values we get-
$30 = 6 \times h \\ \Rightarrow h = 5cm \\$