Question

The perI'm eternal of a rectangular swimming pool is 154m.it's length is 2m more than twice it's breadth. What are the length and the breadth of the pool

Answer 1

Question :

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

Given :

• Length of the pool = 154 m.

• Length = Twice the Breadth + 2

To find :

• Length of the Rectangular pool.

• Breadth of the Rectangular pool.

Solution :

Let the breadth of the Rectangular pool be x m.

Hence according to the Question , the length of the Rectangular pool will be (2x + 2) m.

We know the formula for Perimeter of a Rectangle ,i.e,

$\boxed{\bf{P = 2(l + b)}}$

Where :

• P = Perimeter
• l = Length
• b = Breadth

Now using the above formula and substituting the values in it, we get :

$:\implies \bf{P = 2(l + b)}$

$:\implies \bf{154 = 2[(2x + 2) + x]}$

$:\implies \bf{154 = 2(3x + 2)}$

$:\implies \bf{154 = 6x + 4}$

$:\implies \bf{154 - 4 = 6x}$

$:\implies \bf{150 = 6x}$

$:\implies \bf{\not{150}{6} = x}$

$:\implies \bf{25 = x}$

$\underline{\boxed{\therefore \bf{x = 25}}}$

Hence the value of x is 25 m.

Breadth of the Rectangular pool :

Since we have taken the breadth of the pool as x , and the value of x is 25 thus the breadth of the pool is 25 cm.

Length of the Rectangular pool :

We know the Length the Rectangle (in terms of x) i.e, 2x + 2.

So by substituting the value of x in it, we get :

$:\implies \bf{L = 2x + 2}$

$:\implies \bf{L = 2(25) + 2}$

$:\implies \bf{L = 50 + 2}$

$:\implies \bf{L = 52}$

Hence the breadth of the Rectangular pool is 52 cm.