Question

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

Answer 1

Let the breadth of the pool be x m.

Condition I: Length = (2x + 2) m.

Condition II: Perimeter = 154 m.

We know that Perimeter of rectangle = 2 × [length + breadth]

2 × [2x + 2 + x] = 154

⇒ 2 × [3x + 2] = 154

⇒ 6x + 4 = 154 (solving the bracket)

⇒ 6x = 154 – 4 [Transposing 4 from (+) to (-)]

⇒ 6x = 150

⇒ x = 150 ÷ 6 [Transposing 6 from (×) to (÷)]

⇒ x = 25

Thus, the required breadth = 25 m

and the length = 2 × 25 + 2 = 50 + 2 = 52 m.

Answer 2

$\huge\bold{\red{\fbox{SOLUTION}}}$

Let the breadth of a rectangular swimming pool = x

Given ,

Length is 2 m more than twice its breadth.

➥ Length = (2x + 2) m

Now ,

Perimeter = 2 × (Length + Breadth)

= 2 × (2x + 2 + x)

= 2 × (3x + 2)

= 6x + 4

Given ,

Perimeter = 154 m

➥ 6x + 4 = 154

➥ 6x = 154 - 4

➥ 6x = 150

$➥ \: x = \frac{150}{6}$

➥ x = 25

↬ Breadth = x = 25 m

↬ Length = 2 × 25 + 2 = 52 m