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Q.

The length of a rectangle is twice its breadth. If the perimeter is 72 meters, find the length and breadth of the rectangle.

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a

Length = 25 m, Breadth = 16 m 

b

Length = 26 m, Breadth = 14 m 

c

Length = 24 m, Breadth = 12 m 

d

Length = 12 m, Breadth = 24 m 

answer is B.

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Detailed Solution

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Given, Perimeter = 72 m 

Let the breadth of the rectangle be x meters, 

Then the length of the rectangle is 2x meter. 

We know that the perimeter of a rectangle = 2(l + b) 

∴ According to the question: 2(2x+x)=72 

=> 4x + 2x = 72

=> 6x = 72

=> x = 12

Hence, the required length of the rectangle = 2 x 12 = 24 m and  

The breadth of the rectangle =12 m. 

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