Question

the lenght of a rectangle is greater than the breadth by 18 cm.if both length and breadth are increased by 6cm then area increased by 168 cm.find the length and the breadth of the rectangle

Answer 1

case 1

let the breadth of rectangle be x

then length will be equal to x+18

then area=x(x+18)=x²+18x

case 2

length is increased by 6=x+6

breadth =x+18+6=x+24

and area is increased by 168=x²+18x+168

(x+6)(x+24)=x²+18x+168

x²+24x+6x+144=x²+18x+168

x²+30x+144=x²+18x+168

x²-x²+30x-18x+144-168=0

12x-24=0

12x=24

x=2

x+18=20