Question

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

Answer 1

Answer:

Perimeter of rectangle is 2(l+b).

Breadth=x

Length=2x+2.

154=2(2x+2+x)

154=4x+4+x.

150=5x.

x=30.

Breadth =30.

length=2x+2=62.

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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