Question

The area of rhombus is $119{\text{cm}}^2$ and its perimeter is $56$ cm. Find its height.

Answer 1

Let each side of the rhombus be $A$, then

$4A=56cm$,

then

$A=\frac{56}{4}=14cm$

Now,

Area of rhombus $=119c{m}^2$

$\frac{1}{2}\times base\times height=119$

$\frac{1}{2}\times 14\times height=119$

$14\times height=119\times 2$

$Height=\frac{119\times 2}{14}$

$\therefore Height=\frac{119}{7}=17cm$.