Question

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

Answer 1

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• Let breath be x , then it will be 2x because it is given in question .

• If , breath = 2x

Then , length = 2x + 2

Perimeter = 154 cm

Perimeter = 2 ( l + b )

Perimeter = 2 { (2x + 2 ) + 2x }

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

154 = 2 ( 4x + 2 )

154 = 8x + 4

154 - 4 = 8x

150 = 8x

150 ÷ 8 = x

18.75 = x

Then, breadth = 2 × 18.75 = 37.50

length = 37.50 + 2.00= 39.50

Length = 39.50

Breadth = 37.50

Answer 2

Answer:

Breadth = 25 m

Length = 52 m

Step-By-Step Explanation:

Given that,

Perimeter of rectangular swimming pool = 154 m

Let the breadth of rectangle be = x

According to the question,

Length of the rectangle = 2x + 2

We know that,

Perimeter = 2(length + breadth)

⇒ 2(2x + 2 + x) = 154 m

⇒ 2(3x + 2) = 154

⇒ 3x +2 = 154/2

⇒ 3x = 77 – 2

⇒ 3x = 75

⇒ x = 75/3

⇒ x = 25 m

Therefore, Breadth = x = 25 cm

Length = 2x + 2

= (2 × 25) + 2

= 50 + 2

= 52 m