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Question
A rectangular room has length L and width W, where L and W are measured in feet. If carpeting costs x dollars per square yard, express the cost of carpeting this room algebraically.
Solution
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Since the room is rectangular, the area of the room is then the product of the length and the width of the room.
We have also been given that 1 yard equals 3 feet.
1 square yard is basically the product of 1 yard and 1 yard. Similarly, 1 square foot is the product of 1 foot and 1 foot.
Thus there are 9 square feet in a square yard.
To re-express the area of the room in square yard, we then need to divide the area in square feet by 9.
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