Question

the perimeter of a rectangular swimming pool is 154 metre its length is 2 metre more than twice its breadth what are the length and breadth of the pool​

Answer 1

Perimeter of the rectangular swimming pool = 154 m

Given that the length of the swimming pool is 2 metre more than twice its breadth.

So let the breadth = x m

Then, the length = 2x+2 m

Perimeter of rectangular pool = 2(l+b)

154 = 2(2x+2+x)

154 = 2(3x+2)

154 = 6x +4

150 = 6x

X = 25 m

2x+2 = 52 m

The required dimensions are 25 m and 52 m.

Answer 2

Given :-

• Perimeter = 154 m

Let the breath be x m

∴ Length be 2x + 2 m

To Find :-

• Length
• Breadth

Solution :-

Formula of Perimeter :-

• P = 2 ( l + b)

Where

• l = length
• b = breath
• P = Perimeter

So, let's substitute the values

⟹ 154 = 2( x + 2x + 2)

⟹ 154 = 2 ( 3x + 2)

⟹ 154 = 6x + 4

⟹ 154 - 4 = 6x

⟹ 150 = 6x

⟹ 6x = 150

⟹ x = 150/6

⟹ x = 25

Thus, we got the value of x i.e 25

Now, we will be substituting these value in the length & Breadth

Breadth = x = 25 m

Length = 2x + 2 = 25 × 2 + 2 = 50 + 2 = 52 m

Thus, we got breadth as 25 m & length as 52 m