Question

the perimeter of a rectangular swimming pool is 154 m . it's length is 2m more than twice its breadth. what are the length and the breadth of the pool.​

Answer 1

Step-by-step explanation:

let the length be x+2 and breadth be x

then

Perimeter=2(l+b)

154=2(x+2+x)

154=2(2x+2)

154=4x+4

4x=154-4

4x=150

x=150/4

x=37.5

so breadth is 37.5

and length is 37.5+2=39.5

Answer 2

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