Question

The perimeter of a rectangular swimming pool is 154 m.its length is 2 m more than twice it's breadth.what are the length and the breadth of the pool​

Answer 1

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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

=> x/6 = 150/6 ..[ By dividing both sides by 6 ]

=> x = 25

Thus, breadth =25 m and length =25×2+2=52 m

Answer 2

Answer:

Let the breadth of rectangular swimming pool be x metres.

Let the breadth of rectangular swimming pool be x metres. Then, its length =(2x+2) metres.

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)

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

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+4According to the given condition, we have

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+4According to the given condition, we have 6x+4=154

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+4According to the given condition, we have 6x+4=154⇒6x=154−4 ..[By transposing 4 to RHS]

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+4According to the given condition, we have 6x+4=154⇒6x=154−4 ..[By transposing 4 to RHS]⇒6x=150

$= \frac{x}{6} = \frac{150}{6} \: (dividing \: both \: sides \: of \: six)$

⇒x=25

⇒x=25 Thus, breadth =25 m and length =25×2+2=52 m

Step-by-step explanation:

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