Question

the perimeter of a rectangular swimming pool is 164m. Its lenght is 4m more than twice its breadth. what are the length and the breadth of the pool​

Answer 1

Let the breadth of the rectangular pool be x m

Therefore, length = 2x + 4 m

Perimeter = 2 ( 2x + 4 + x )

                = 2 ( 3x + 4 )

                = 6x + 8

Perimeter ( given ) = 164 m

ATQ,

=> 6x + 8 = 164

=> 6x = 164 - 8

=> 6x = 156

=> x = 26

Breadth = x m = 26 m

Length = 2x + 4 m = 2 * 26 + 4

           = 56 m

Answer 2

Answer:

let the Breadth of the rectangle be x

so, the length will be,

l = 2x + 4

The perimeter of the rectangle is ,

2( l + b ) = 154

so,

2 ( 2x + 4 + x ) = 154

6x + 4 = 154

6x = 150

$x = \frac{150}{6}$

thus x = 25m

and length will be = 2 × 25 + 4

length = 50m

breadth = 25m

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