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Find the Perimeter of a Rhombus whose diagonals measure 24 cm and 32 cm.
Given :
The measure of the diagonals of the rhombus are 24 cm and 32 cm.
Let p = 24 cm and q = 32 cm.
To find :
We have o find the Perimeter of Rhombus
Solution :
We know that,
The perimeter of a rhombus whose diagonals measure p units and q units is $2\sqrt{p^{2} +q^{2}} \ units$.
The perimeter of the given rhombus $= 2\sqrt{24^{2} +32^{2}} \ cm$
$=2\sqrt{576+1024} \ cm$
$=2\sqrt{1600} \ cm$
$=2\times40$ cm
$=80$ cm
The perimeter of the given rhombus is 80 cm.