SOLUTION: Hi; Can you show me how to work the following problem please? 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

Question 331697: Hi; Can you show me how to work the following problem please?
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?

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
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?
.
Let w = width of table
then because "table tennis is 4 ft longer that it is wide" we have
w+4 = length of table
.
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
.
Length:
w+4 = 5+4 = 9 ft
.
dimensions are 5 feet by 9 feet

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