Question

the lenght of a rectangle exceeds its breadth by 4cm .if lenght and breadth are each increased by 3 cm .the area of new rectangle will be 81cm square more than that of given rectangle .find the length and breadth

Answer 1

let the length of the rectangle be x..
and breadth be y
from 1st condition..x=y+4
x-y=4
second condition..
x+3.x.y+3=81
6+x+y=81
x+y=74
adding one and two..
x-y=4
x+y=74
2x=78
x=78/2
x=36