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  • The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?

Q.2 The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?

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Let the breadth of the pool be x m.

According to the question, the length of the pool = 2x + 2 m.

Perimeter of rectangle = 2(l + b) = 154 m .

i.e., 2(2x + 2 + x) = 154

    2(3x + 2) = 154

Dividing both sides by 2, we get

3x + 2 = 77

Now transposing 2 to the RHS, we get 

3x = 77 - 2 = 75 

Dividing both sides by 3, we get

x = \frac{75}{3} = 25

Thus breadth of pool = 25 m 

   and length of the pool = 2\times25 + 2 = 52 m 

 

Posted by

Divya Prakash Singh

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