Question

i) The area of a rectangle reduces by 20 m², if its length is increased by 1 m and the
breadth is reduced by 2 m. The area increases by 12 m², if the length is reduced
by 3 m and the breadth is increased by 4 m. Find the dimensions of the rectangle.
​Please answer it fast...
I want to study it for my exam..

Answer 1

Answer:

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