Question

The length of a room exceeds its breadth by 3 meters . If length is increased by 3 meters and breadth is decreased by 2 meters the area remains the same.Find the length and breadth of the room

Answer 1

Answer:

18 and 15

Step-by-step explanation:

Let length of the room is L and breadth is B

L=B+3

area of the room is L*B

If length is increased by 3 meters and breadth is decreased by 2 meters the area is

(L+3)*(B-2)

the area remains the same

L*B=(L+3)*(B-2)

(B+3)B=(B+6)(B-2)

B²+3B=B²-12+4B

B=12

Then L=15