Question

Find the altitude of rhombus whose area is 208 cm² and perimeter is 64 cm. ​

Answer 1

Answer :

• Altitude of rhombus is 13cm

Given :

• Area of rhombus is 208cm²
• Perimeter of rhombus is 64cm

To find :

• Altitude of rhombus

Solution :

First we need to find the length of side by using the formula of perimeter of rhombus

• Let the side of rhombus be x

We know that

• Perimeter of rhombus = 4 × side

↦ Perimeter of rhombus = 4 × side

↦ 64 = 4 × x

↦ x = 64/4

↦ x = 16cm

Hence , Side of length is 16cm

Now, we need to find the altitude of rhombus by using the formula of area of rhombus

We know that

• Area of rhombus = base × altitude

• Let the base be x
• Let the altitude be h

↦ Area of rhombus = base × altitude

↦ 208 = x × h

↦ 208 = 16 × h

↦ h = 208/16

↦ h = 13cm

Altitude of rhombus is 13cm

Verification :

↦ 208 = x × h

↦ 208 = 16 × 13

↦ 208 = 208

Hence , Verified