Question 257832: The length of a table is 13 inches more than its width. If the area of the table is 1598 square inches, what is its length?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The length of a table is 13 inches more than its width.
;
x = width of the table
then
L = (x+13)
;
If the area of the table is 1598 square inches, what is its length?
:
L * x = 1598
Replace L with (x+13)
x(x+13) = 1598
x^2 + 13x - 1598 = 0; our old friend, the quadratic equation
Factor
(x - 34)(x + 47) = 0
Positive solution
x = 34 inches is the width
then
34 + 13 = 47 inches is the length
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