Question

the area of a rhombus is 119cm and its perimeter is 56cm. find its height.

Answer 1

✬ Height = 8.5 cm ✬

Step-by-step explanation:

Given:

• Area of a rhombus is 119 cm.
• Perimeter of the rhombus is 56 cm.

To Find:

• What is the meaure of height of the rhombus ?

Solution: We know that the rhombs is a parallelogram and all four sides of rhombus are equal. Therefore

★ Perimeter of Rhombus = 4 ( Side ) ★

A/q

• Perimeter = 56 cm

$\implies{\rm }$ 56 = 4 ( Side )

$\implies{\rm }$ 56 = 4S

$\implies{\rm }$ 56/4 = Side

$\implies{\rm }$ 14 cm = Side

So, The measure of each side of rhombus is 14 cm, all sides are equal so we can take base as 14 cm.

Since, the rhombus is parallelogram and the area of parallelogram is given by :-

★ Area of Parallelogram = Base $\times$ Height ★

A/q

• Area of rhombus = 119 cm

$\implies{\rm }$ Area of rhombus = Base(Height)

$\implies{\rm }$ 119 = 14 $\times$ Height

$\implies{\rm }$ 119 = 14h

$\implies{\rm }$ 119/14 = Height

$\implies{\rm }$ 8.5 cm = Height

Hence, the meaure of height of the rhombus is 8.5 cm.