Question

Suppose the area of a rhombus is $119{\text{cm}}^2$ and the perimeter is $56$ cm. Find the length of the diagonals.

Answer 1

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

Perimeetr = 56 cm

Perimeter = 4 length of side [ because all sides of rhombus are equal]

$\Rightarrow$ Length of side = $\frac{56}{4}=14$ cm

$\therefore$ Area = base $\times$ altitude

Any side can be considered as base

Altitude = Area / base

$=119/14$

= 8.5 cm

$\therefore$ Length of diagonals = 8.5 cm