Question

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

Answer 1

Answer:

perimeter = 154m

let's take breadth = x m

length = x+2 m

perimeter = 2( l + b)

154 m =2 ( x+2+x )

154m = 2 (2x+2)

154 m= 4x + 4

4x = 154 ‐ 4

4x = 150

x = 150 /4

× = 37.5 m

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Answer 2

Given :

• Perimeter = 154m

____________________________

To Find :

• Length and the breadth

____________________________

Solution :

Let x be the measure of the breadth

According to the question :

→ Length = 2x + 2

2(length + breadth) = Perimeter of the rectangle

⇒ 2 {(2x+2) + x} = 154m

⇒ 2(2x + 2 + x) = 154m

⇒ 2(3x + 2) = 154m

⇒ 6x + 4 = 154m

⇒ 6x = 154m - 4

⇒ x = 150/6

⇒ x = 25m

Finding out length and breadth :

→ L = 2x+2 = 52

→ B = x → 25

∴ Length of rectangle is 52 m and breadth is 25 m