Question

3. The length of a room is twice its breadth. If the length is reduced by 5 meter and breadth is
increased by 3 meters, the area remains as before. Find the length and breadth of the room.​

Answer 1

Step-by-step explanation:

Let the length of the room be x meters and he breadth of the room be y meters.

Then, we have:

Area of the room = xy

According to the question,

we have:

x = y + 3 ⇒ x – y = 3 …….(i)

And, (x + 3) (y – 2) = xy

⇒ xy – 2x + 3y – 6 = xy

⇒ 3y – 2x = 6 ……..(ii)

On multiplying (i) by 2,

we get: 2x – 2y = 6 ……….(iii)

On adding (ii) and (iii),

we get: y = (6 + 6) = 12

On substituting y = 12 in (i),

we get: x – 12 = 3 ⇒ x = (3 + 12) = 15

ANSWER

Hence, the length of the room is 15 meters and its breadth is 12 meters.