Question

The area of rhombus is 240 cm square and its perimeter is 64 cm. Find the altitude.​

Answer 1

Answer:

The altitude is 15 cm.

Step-by-step explanation:

Let each side of the rhombus be x cm

So, perimeter of rhombus = 4 × side

= 4 × x

= 4x cm

Given, perimeter of rhombus = 64 cm

According to the question,

4x = 64

x = 64 / 4

x = 16 cm

So, each side of rhombus measures 16 cm.

So, base of rhombus is 16 cm.

Let the altitude of rhombus be y cm

Area of rhombus = base × altitude

[as rhombus is also a parallelogram]

= 16 × y

= 16y sq.cm

Given, area of rhombus = 240 sq.cm

according to the question,

16y = 240

y = 240/16

y = 15 cm

Hence, the altitude is 15 cm.