Question

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

Answer 1

Breadth of rectangle = x

Length of rectangle = 18+x

A/Q

Length of rectangle =18+x+6=x+24

Breadth of rectangle = x+6

Area of rectangle =2(x+6+18+x+6)+168=24x+6x+144

On solving (1) and (2) with increased area by 168cm^2

x^2 +18x+168 = x^2+30x+144

18x+168=30x+144

12x=24

x=2

Hence, breadth is 2 cm and length and 20 cm (2+18cm).