A wire of length 150 cm is bent in a form of rectangle such that its length is 5 cm more than its width.Findthe length and width of the rectangle formed

Answer :

Let width of rectangle  =  x cm

And given  length is 5 cm more than its width , So

Length of rectangle  =  (x  + 5) cm

Also given A wire of length 150 cm is bent in a form of rectangle , So

Perimeter of rectangle  =  150 cm

We know perimeter of rectangle  =  2 ( Length  + Width ) , So

2 ( x  + 5  +  x  ) =  150

2x  + 5   =  75

2x  =  70

x  =  35

So,

Width of rectangle  = 35 cm

And

Length of rectangle  = 35 + 5  = 40 cm                                                   ( Ans )