Question

if the length of a rectangle is increased by 2 metre and the bredth would increase by 1 metre the area would increase by 24 sq.cm if the length is decresed by 2 metre and bredth increased by 2 metre the area would increase by 4 sq.cm what are the length and bredth

Those who answer this question will mark as brainlist​

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