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Question

The length of a rectangle is thrice its breadth and the length of its diagonal is 810cm.. The perimeter of the rectangle is
(a) 1510 cm
(b) 1610cm
(c) 2410cm
(d) 64 cm

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Solution

(d) 64 cm

Let the breadth of the rectangle be x cm.
∴ Length of the rectangle = 3x cm
We know:
Diagonal=(Length)2+(Breadth)2810=x2+(3x)2810=x2+9x2810=x10x=8

Now,
Breadth of the rectangle = x = 8 cm
Length of the rectangle = 3x = 24 cm
Perimeter of the rectangle=2(Length+Breadth)=2(8+24)=64 cm

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