Question

The length of a rectangle is 3 cm more than its breadth. If the length is
increased by 2cm and breadth is reduced by 1cm, then the area remains
the same. Find the length and breadth of the rectangle.



Urgent

Answer 1

Step-by-step explanation:

Let the breadth of the rectangle be x cm.

Then, length = 3x cm

New breadth =(x+5) cm

New length =(3x−3)cm

Then, (x+5)(3x−3)−3x×x=57

⇒3x

2

+12x−15−3x

2

=57

⇒12x=57+15=72⇒x=6

∴ Breadth = 6 cm, Length = 18 cm

Perimeter =2(6cm+18cm)=2×24cm=48cm