Question

the perimeter of a rectangular swimming pool is 164 meters . its length is 3 meters more more than twice its breadth . what are the length and the breadth of the pool .​

Answer 1

Answer:

Length = 55.66m (approx)

Breadth = 26.33m (approx)

Step-by-step explanation:

Given :

Perimeter of the rectangular swimming pool = 164 m

Length is 3 m more than twice as breadth

To find :

The length and breadth of the swimming pool

Concept :

Let the Length be 2x+3

And let the Breadth be x

So , use the formula to find the perimeter of the rectangle . Then , we will get the Length and Breadth

So , the equation will form like this -:

$\boxed{\sf{2(2x+3m+x)=164m}}$

Solution :

$:\implies\sf{2(2x+3m+x)=164m}$

$:\implies\sf{4x+6m+2x=164m}$

$:\implies\sf{6x+6m=164m}$

$:\implies\sf{6x=164m-6m}$

$:\implies\sf{6x=158m}$

$:\implies\sf{x=\dfrac{158m}{6}}$

$:\implies\sf{x=26.33m (approx)}$

So , the Breadth is 26.33m (approx)

And to find length do the twice of 26.33m and then add 3m in it .

$:\implies\sf{Length=26.33\times2+3m}$

$:\implies\sf{Length=55.66m (approx)}$

So , the length is 55.66m (approx)