SOLUTION: The length of a conference room is one and a half times its width. A carpet that is twice as long as it is wide is placed in the centre of the room, leaving a 3m wide border round

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Question 975122: The length of a conference room is one and a half times its width. A carpet that is twice as long as it is wide is placed in the centre of the room, leaving a 3m wide border round the carpet. Find the area of the carpet.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The description switches directions of the dimensions, but doing that makes the description distracting. Both the room and the carpet are twice as long as they are wide.

x, a factor to help relate "length and width" for the carpet, also for the room.

x and 2x are the dimensions of the carpet, for 2x the length, x the width.
.
.

You can not really find a value for the carpet area. The room area is not given nor findable; the carpet area is not given nor findable; the border area is neither.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The length of a conference room is one and a half times its width. A carpet that is twice as long as it is wide is placed in the centre of the room, leaving a 3m wide border round the carpet. Find the area of the carpet.
Width of carpet: 6 units

Carpet’s length: 2(6), or 12 units

Carpet’s area: 6(12), or  sq units 

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