Question

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

Answer 1

Answer:

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

hope this helps you

Answer 2

Answer:

let the breadth be x cm

so length = x+18

area of rectangle = l×b

168+ x2+18x= (x+6) (x+24)

" " " " = x saquare+24x+6x+144

168-144=12x

24=12x

x=2

breadth=2 cm

length=2 cm