SOLUTION: The length of a rectangular room exceeds its breadth by 4 m. If the length Is increased by 6 m and breadth diminished by 4 m, there would be no change in the area Find the length

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Question 965991: The length of a rectangular room exceeds its breadth by 4 m. If the length
Is increased by 6 m and breadth diminished by 4 m, there would be no change in the area
Find the length and breadth of the room.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangular room exceeds its breadth by 4 m.
L = W + 4
LW = original area
If the length Is increased by 6 m and breadth diminished by 4 m, there would be no change in the area
(L+6)(W-4) = LW
FOIL
LW - 4L + 6W - 24 = LW
Subtract LW from both sides, add 24 to both sides
-4L + 6W = 24
Replace L with (W+4)
-4(W+4) + 6W = 24
-4W - 16 + 6W = 24
2W = 24 + 16
2W = 40
W = 20 is the width
:
Find the length and breadth of the room.
20 + 4 = 24 m is the length, 20 m is the width
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You can confirm this for yourself, find the area using both set of dimensions