SOLUTION: The length of a room is 3 metres more than its breadth. If the length was increased by 3 metres and the breadth was decreased by 2 metres , the area of the room would remain the sa

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Question 883378: The length of a room is 3 metres more than its breadth. If the length was increased by 3 metres and the breadth was decreased by 2 metres , the area of the room would remain the same. What is the breadth of original room in there?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w = breadth of original room;
L = length of original room;
L=w+3.

Original room
w and L, area is wL.

New room
L+3 and w-2, area is (w-2)(L+3).

The two rooms were equal area. The two equations for this system are highlight%28wL=%28w-2%29%28L%2B3%29%29 and from the written problem description, highlight%28L=w%2B3%29. Substitution for L allows to solve first for w.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The length of a room is 3 metres more than its breadth. If the length was increased by 3 metres and the breadth was decreased by 2 metres , the area of the room would remain the same. What is the breadth of original room in there?

Original width: highlight_green%28highlight_green%2812%29%29
Original length: highlight_green%28highlight_green%2815%29%29
You can do the check!!
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