Question

rectangle is 44m less than twice its length if the perimeter of the rectangle is 122 m find its length and breadth

Answer 1

Given:

Parameter of rectangle

= 122 m

To find:

Length and breadth = ?

Solution:

Let the breadth of a rectangle = x

and the length = x+44m

As we know,

⇒  $Parameter \ of \ rectangle = 2(length+breadth)$

On substituting the estimated values, we get

                                      $122=2(x+44+x)$

                                      $122=2(2x+44)$

                                      $122=4x+88$

On subtracting "88" from both sides, we get

                              $122-88=4x+88-88$

                                       $34=4x$

                                       $\frac{34}{4} =x$

                                        $x=8.5$

So,

The breadth = "8.5 m"

The length = $x+44m$

                   = $8.5+44$

                   = $52.5 m$