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.

Answer :

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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