Question

If the length of a rectangle is reduced by 5 units
and its breadth is increased by 3 units, the area
of a rectangle gets reduced by 9 sq units. If the
length is reduced by 3 units and the breadth is
increased by 2 units, the area is increased by
67 sq units. Find the length and breadth of
rectangle.​

Answer 1

Answer:

length = 17 units breadth = 9 units

Explanation:

let length be x and breadth be y

original area = xy

case 1:

(x-5)(y+3) = xy - 9

xy +3x -5y -15 = xy - 9

3x -5y +xy -xy = - 9

3x-5y -6 = 0

case 2:

(x-3)(y+2) = xy +67

xy +2x -3y -6 xy +67

2x -3y - 61 = 0;

by cross multiplication we get

x = 17 , y = 9