Question

the length of rectangle us greater than the breadth by 18cm if both length and breadth increased by 6 cm then area increased by 168 cm square find the length and the breadth of rectangle

Answer 1

The length of a rectangle is greater than the breadth by 18 cm. If the length and breadth are increased by 6 cm, then the area by 168, what is the length and breadth?
Initially assume breadth =x,then length = (x+18)

Area of rectangle = length * breadth

Area = x(x+18)=x^2+18x

Area after increasing length and breadth by 6 cm was (x+6)*(x+24)

New area = x^2+30x+144 ,which is equal to previous area increased by 168

Therefore final equation was

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

Solving x=2cm ( ie.., breadth of rectangle)

And length = 2+18= 20 cm

$\huge\boxed{hope\:it's \:help}$