Question

The perimeter of a rectangle whose lenght is p and breadth is q
is 11 cm. If the length is increases by 5 and breadth
is decreased by 5 the area remains same. Find the length
and breadth of rectangle.
a​

Answer 1

Step-by-step explanation:

Let x = length & breadth = y

Area = x.y=A

(i) (x+2)(y−2)=(A−26)⇒xy−2x+2y−4=xy−28⇒y−x=−12 ...(1)

(ii) (x−1)(y+2)=A+33⇒xy+2x−y−2=xy+33⇒2x−y=35 ...(2)

adding both equation

x=23,y−x+2x−y=−12+35⇒x=23

Placing in equation (1)

y−23=−12⇒y=11