Verified 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

[tex] = 2(Length + Breadth ) \\ \\ = 2(2x + 2x + x) \\ \\ = 6x + 4[/tex]

• According to the given condition, we have

[tex]6x + 4 = 154 \\ \\ 6x = 154 - 4 \\ \\ 6x = 150 \\ \\ x = \frac{150}{6} \\ \\ x = 25[/tex]

[tex]Breadth = 25 \: m \\ \\ Length = (25 \times 2 + 2) \\ \\ = 52 \: m[/tex]

Let the breadth be x m. The length will be (2x + 2) m.

Perimeter of swimming pool = 2(l + b) = 154 m

2(2x + 2 + x) = 154

2(3x + 2) = 154

Dividing both sides by 2, we obtain

293X + 2/2 = 154/2

3x + 2 = 77

On transposing 2 to R.H.S, we obtain

3x = 77 − 2

3x = 75

On dividing both sides by 3, we obtain

x = 25

2x +2 = 2 x 25+2 = 52

Hence, the breadth and length of the pool are 25 m and 52 m respectively.