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

• Length of the pool = 52 m
• Width of the pool = 25 m

Explanation:

Given that,

• The perimeter of a rectangular swimming pool is 154 m.
• Its length is 2 m more than twice its width

Let's assume,

• Width of the pool = x
• Length of the pool = 2 + 2x

We know that,

Perimeter of rectangle = 2 (l + w)

Plugging the required values,

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

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

`\sf \longrightarrow 4 + 6x = 154`

Subtract 4 from both sides,

`\sf \longrightarrow 4 + 6x - 4 = 154 - 4`

`\sf \longrightarrow 6x = 150`

Divide both sides by 6,

`\sf \longrightarrow x = 25`

Since the Length of pool is 2x + 2, substitute the value of x here.

`\sf \longrightarrow 2(25) + 2`

`\sf \longrightarrow 50 + 2`

`\sf \longrightarrow 52 \: m`

Width of the pool = x = 25 m

Therefore, Length of the pool is 52 m and width of the pool is 25 m