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If the diagonals of a rhombus are 48 cm and 64 cm, then what is the perimeter of the rhombus?
Question

If the diagonals of a rhombus are 48 cm and 64 cm, then what is the perimeter of the rhombus?

A.

120 cm

B.

75 cm

C.

225 cm

D.

160 cm

Correct option is D

Given:
Diagonal 1 = 48 cm
Diagonal 2 = 64 cm
Formula Used:
Side of rhombus s=(d122)+(d222) s = \sqrt{(\frac {d1}{2}^2) + (\frac {d2}{2}^2)}​​
Perimeter of rhombus = 4 × side
Solution:
s=(48/2)2+(64/2)2)s=242+322s=576+1024)=1600=40cms =\sqrt{(48/2)^2 + (64/2)^2)}\\s = \sqrt{24^2 + 32^2}\\s =\sqrt{576 + 1024)}= \sqrt{1600} = 40 cm​​
Perimeter = 4 × 40 = 160 cm

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