Question

the breadth increased
Q. If the length of a rectangle
ouectangle is decreased
by 2 metres and
by 2 metres the
8 square medies. If the length is decreases
would increase
are ou
decreased by a medures and the breadth
decreased by I metre, the area would
decrease by 27 square meteres. what are
the length and breadth
​

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