Question

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

Answer 1

Answer:

Step by step explanation:

Let breadth= (x)metres

Therefore,length=(2x+2)metres

A.T.Q.

Perimeter of rectangular pool=154 m

2(length+breadth)=154 m

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

2(3x+2)=154 m

6x+4=154 m

6x=154-4 m

6x=150m

x=150/6 m

x=25m

Therefore,breadth=25 metres

length=2(25)+2=50+2=52 metres

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