Question

The length of a room exceeds its breath by 8 cm . If each had been increased by 2 cm, the are would have been increased by 60 cm² . Find the original dimensions of the room.

*pls help it's urgent*
_don't give useless answers_!!

Answer 1

Original length and breadth are 18 cm and 10 cm respectively .

Answer 2

Let the breadth of the room = 'x' cm.

Then the length of the room = x + 8 cm.

Area of the room = (x)(x + 8)

Increased by 2 cm:

⇒ Length of the room = x + 2 + 8 = x + 10 cm.

⇒ Breadth of the room = x + 2 cm.

Area is increased by 60 cm^2.

⇒ x(x + 8) + 60 = (x + 10)(x + 2)

⇒ x^2 + 8x + 60 = x^2 + 12x + 20

⇒ x^2 + 8x - x^2 - 12x = -40

⇒ -4x = -40

⇒ x = 10.

So,

Breadth = 10 m.

Then, Length = x + 8

                       = 18 m.

Therefore:

⇒ Length of the room =  18 m.

⇒ Breadth of the room = 10 m.

Hope it helps!