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 cm², 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 cm²

Also, 

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

Let, DB = d₁ = 8 cm and CA = d₂.

Area of a rhombus = (d₁ × d₂)/2

⇒ (d₁ × d₂)/2 = 24

⇒ 8 × d₂ = 48

⇒ d₂ = 48/8

⇒ d₂ = 6

Hence, AC = 6 cm.

Thus, the area of the rhombus with side 5 cm and altitude 4.8 cm is 24 cm², and the length of the other diagonal is 6 cm.