Question

The length of a side of rhombus is 4.1cm and one of its diagonals is 1.8 cm long. Find the area of rhombus

Answer 1

length of rhombus is 4.1
it's diagonals is 1.8
area of the rhombus =
length×height
=4.1×1.8
=7.38cm

Answer 2

Area of the rhombus is 7.2 cm²

Given:

• A rhombus
• Length of side = 4.1 cm
• One Diagonal = 1.8 cm

To Find:

• Area of the Rhombus

Solution:

• Rhombus has 4 sides of Equal length
• Area of Rhombus = (1/2) x Product of Diagonals
• 4 x (side)² = (diagonal 1)² + ( diagonal 2)²

Step 1:

Use 4 x (side)² = (diagonal 1)² + ( diagonal 2)² and substitute side = 4.1 and Diagonal 1 = 1.8 cm

4 ( 4.1)² =1.8²  + (diagonal 2)²

=> 67.24 +  3.24 +  (diagonal 2)²

=> 64 = (diagonal 2)²

=> diagonal 2 = 8 cm

Step 2:

Use formula for Area of Rhombus = (1/2) x Product of Diagonals

Area = (1/2) (1.8)(8)

=> Area = 7.2 cm²

Area of the rhombus is 7.2 cm²

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