Question

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

Answer 1

Explanation:

Hey there!

According to the question;

Perimeter of rectangle (p) = 154 m

Let the breadth of rectangle be "X" then length will be 2x+2.

Then;

Perimeter (p) = 2(l+b)

154 = 2((2x+2) + x)

154 = 2(3x+2)

154 = 6x + 4

or, 6x = 154-4

or, X = 150/6

Therefore, X= 25.

Hence;

Length = 2*25+2 = 52 m

Breadth = 25 m

Hope it helps!

Answer 2

We can assume,

Perimeter of rectangle = 154 m

Breadth = x

Length = 2x + 2

Now, perimeter = 2(l+b)

`\sf \to 154= 2((2x+2) + x)`

`\sf \to 154 = 2(3x+2)`

`\sf \to 6x = 154-4`

`\sf \to x = (150)/(6) = 25`

Then,

Breadth = 25 m

Length
`\sf = 2x + 2`

`\sf \to (2 * 25) + 2`

`\sf \to 52 \: m`