Question

If the length of a rectangle is decreased 2 metres and the breath increased by 2 metres the area would increase 8 square metre if the length decreased by 3 metre and the breadth decreased by 1 metre the area would decreased by 27 square metre what are tje length and beradth

Answer 1

Answer:

Let l=x

b=y

area= l×b = x×y

ATQ

(x-2) (y+2) = xy+8

xy +2x -2y-4=xy+8

Solving we get , x-y=6---------(1)

and,

ATQ

(x-3) (y-1)= xy-27

xy-x-3y+3=xy-27

Solving we get, x+3y=30--------(2)

Solving equations 1 and 2

y=6

x=12