Q. 184.4( 8 Votes )

# Find the area of a rhombus, each side of which measures 20 cm and one of whose diagonals is 24 cm.

Given: Side = 20 cm

Diagonal = 24 cm

To find: Area of rhombus

Formula Used:

Area of rhombus = 1/2 × d1 × d2

Explanation:

Length of side of rhombus = 20 cm

Length of one diagonal = 24 cm

In ΔAOB

Using Pythagoras theorem:

AB2 = OA2 + OB2

202 - 122 = OB2

OB2 = 400 – 144

OB2 = 256

OB = 16

Hence, length of another diameter = 16 × 2 = 32 cm

Area of rhombus =

Area of rhombus =

Area of rhombus = 384 cm2

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