Question

The area of a rhombus is 93.5 cm square. If its perimeter is 44cm, then find its altitude

Answer 1

Question :–

The area of a rhombus is 93.5 cm square. If its perimeter is 44cm, then find its altitude.

Given :–

• Area of rhombus = 93.5 cm²
• Perimeter = 44 cm

To Find :–

• Height of rhombus.

Solution :–

First we have to find the sides,

• perimeter = 4 × side

→ 44 = 4 × side

→ $\sf \frac{ \cancel{44}}{\cancel{4}}$ = side

→ 11 = side

• side = 11 cm

• Area of rhombus = base × height

→ 93.5 cm² = 11 × height

→ $\sf \frac{935}{10}$ = 11 × height

→ $\sf \frac{935}{10 \times 11}$ = height

→ $\sf \frac{935}{110}$ = height

→ $\sf 8.5$ = height

Hence,

Height of the rhombus = 8.5 cm

Answer 2

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