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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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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Solution To Question ID 463538
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Answer
Let the breadth of rectangular swimming pool be x metres.
Then, its length =(2x+2) metres.
We know that the Perimeter of a rectangle =2(Length+Breadth)
=2(2x+2+x)=6x+4
According to the given condition, we have
6x+4=154
⇒6x=154−4 ..[By transposing 4 to RHS]
⇒6x=150
⇒
6
x
=
6
150
...[Dividing both sides by 6]
⇒x=25
Thus, breadth =25 m and length =25×2+2=52 m
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Answer:
Let the breadth of the pool be x m. Then, the length of the pool = ( 2 x + 2 ) \left(2x+2\right) (2x+2) m. And, breadth of the pool = 25 m.
Step-by-step explanation: