Question 331697
The table used for table tennis is 4 ft longer that it is wide and has an area of 45 ft^2. What are the dimensions of the table?
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Let w = width of table
then because "table tennis is 4 ft longer that it is wide" we have
w+4 = length of table
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area = width * length
45 = w(w+4)
45 = w^2+4w
0 = w^2+4w-45
0 = (w+9)(w-5)
w = {-9,5}
Toss out negative solution leaving: 
w = 5 ft
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Length:
w+4 = 5+4 = 9 ft
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dimensions are 5 feet by 9 feet