Question

The area of rhombus is 96 square metres. if its perimeter is 40 m,find its altitude​

Answer 1

Answer:

Perimeter of the rhombus = 32 m (Given)

As we know that all the sides of a rhombus are equal. So,

Each side of rhombus = Perimeter/4

= 32/4

Each side of the given rhombus = 8 m

As we know that the area of a rhombus is the product of its altitude and base.

So, according to the question.

Area = Altitude × Base

96 = A × 8

8A = 96

A = 96/8

Altitude = 12m

Step-by-step explanation:

Answer 2

The perimeter of the rhombus is given to be 40 m

We will first find out the length of side of the rhombus

Perimeter = 4 × side

          40 = 4 × side

    side = 40/4

            = 10 m

Area of the rhombus is given to be 96 m²

We have to find the altitude

Area of rhombus = base × altitude

                       96 = 10 × altitude

              altitude = 96/10

                           = 9.6 m

Hence, the altitude of the rhombus will be 9.6 m