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The length of a rectangle is three times of its width. If the length of the diagonal is 8√10 cm, then the perimeter of the rectangle is

A.	15√10 cm	B.	16√10 cm
C.	24√10 cm	D.	64 cm

Answer and Explanation

Answer:64 cm

Explanation:
Let the breadth be x cm, Then length = 3x cm.
X2 + (3x)2 = (8√10)2 => 10x2 = 640 => x2 = 64 => x = 8
So, length = 24 cm and breadth = 8 cm
Hence, Perimeter = [2 (24 + 8)] cm = 64 cm

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