Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Solution:

Rhombus is a special type of parallelogram and the area of a parallelogram is the product of its base and height.

Let the length of the other diagonal of the rhombus AD be x.

Area of the rhombus ABDC = Base × Length = 5 cm × 4.8 cm = 24 cm²

Also,

Area of rhombus = 1/2 × Product of its diagonals

24 = 1/2 (AD × CB)

24 = 1/2 (x × 8 cm)

x × 4 = 24

x = 6 cm

Thus the length of the other diagonal is 6 cm

☛ Check: NCERT Solutions for Class 8 Maths Chapter 11

Video Solution:

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal

Class 8 Maths NCERT Solutions Chapter 11 Exercise 11.2 Question 6

Summary:

The area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm is 24 cm². If one of its diagonals is 8 cm long, the length of the other diagonal is 6 cm.

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