# Find area of rhombus in which side is 5 cm and altitude is 4.8 cm. If one diagonal is 8 cm find length of other diagonal.

Rhombus is a parallelogram with all sides equal to each other.

## Answer: The area of the rhombus with side 5 cm and altitude 4.8 cm is 24 cm^{2}, and the length of the other diagonal is 6 cm.

Let's draw the diagram of rhombus ABCD, then find the area and the length of the other diagonal.

**Explanation:**

Let's draw the diagram of rhombus ABCD according to the given question.

Side of the rhombus = 5 cm

So, AB = BC = CD = DA = 5cm (Since all the sides of a rhombus are equal)

Area of a rhombus = Base × Height (Since, rhombus is also a parallelogram)

= 5 cm × 4.8 cm (Since, altitude = 4.8cm)

= 24 cm^{2}

Also,

Area of a rhombus = (Product of the digonals)/2

Let, DB = d_{1} = 8 cm and CA = d_{2}.

Area of a rhombus = (d_{1} × d_{2})/2

⇒ (d_{1} × d_{2})/2 = 24

⇒ 8 × d_{2} = 48

⇒ d_{2} = 48/8

⇒ d_{2 }= 6

Hence, AC = 6 cm.

### Thus, the area of the rhombus with side 5 cm and altitude 4.8 cm is 24 cm^{2}, and the length of the other diagonal is 6 cm.

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