Question

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

Answer 1

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

Answer 2

Answer:

52 M

Step-by-step explanation:

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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