The diagonals of a rhombus are 32 cm and 24 cm respectively The perimeter of the rhombus is ........

Quantitative Aptitude ( CCS) Mensuration 2D

The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is

80 cm

72 cm

68 cm

64 cm

The "legs" of each one will be half of 24cm and half of 32cm: that is, 12cm and 16cm.

The Pythagorean Theorem says that the remaining side, the hypotenuse,

will be √(12^2+16^2)cm; 12^2+16^2=144+256=400; √400=20.

That gives us one side of the rhombus at 20cm.
The entire rhombus has (4) of these, so our perimeter is 4×20cm=80cm

Hence, option 1 is the correct answer.

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