Question

The area of rectangle gets reduced by 6 units if the length is reduced by 8 units and the breadth is increased by 1 unit however if increase the length by 3 units reduce the breadth by 1 unit area is increased by 9 square units find the perimeter of a rectangle

Answer 1

let length of rectangle = x

let breadth of rectangle = y

area of rectangle = xy

according to first condition

(x-8)(y+1)=xy-6

xy + 1x -8y - 8 = xy-6

xy + 1x - 8y - 8 - xy + 6 = 0

1x - 8y - 2 = 0 [- 1]

according to second condition

(x+3)(y-1)=xy+9

xy - 1x + 3y - 3 - xy - 9 = 0