SOLUTION: A double room is longer than wide. If the length is decreased by 6m and 4m width is increased , the area of the room does not change. Find the size of the room.

Algebra ->  Length-and-distance -> SOLUTION: A double room is longer than wide. If the length is decreased by 6m and 4m width is increased , the area of the room does not change. Find the size of the room.      Log On


   



Question 988506: A double room is longer than wide. If the length is decreased by 6m and 4m width is increased , the area of the room does not change. Find the size of the room.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Room length, 2x
Room width, x
Room Area not changed, 2x%5E2.

Expression for area of the changed room:
%282x-6%29%28x%2B4%29=2x%5E2
If you understand this and have necessary skill for solving quadratic equations, then you're all set.