Question 1047748
The area of a rectangular hall is 48 square metres. If the length and breadth be increased by 1 metre each the area is increased by 15 square metres. Find the length and breadth of the hall.

xy=48

(x+1)(y+1)=63

xy+x+y+1=63

48+x+y+1=63
49+x+y=63
x+y=63-49
x+y=14
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xy=48

x+y=14

which gives answer x=6 and y =8

check
6*8 area is 48
 
let us increase area by 1
7*9=63 area is increased by 15