A rectangular garden is 5 ft longer than it is wide. Its area is 336 ft2. What are its dimensions?
width = x and length = x + 5; Area of a rectangle = (length)x(width)
x(x+5) = 336
x^2 + 5x = 336
x^2 + 5x - 336 = 0
(x + 21)(x - 16) = 0
x + 21 = 0 OR x - 16 = 0
x = -21 OR x = 16
x cannot be -21, because that does not make sense for a length or a width. Therefore, x (the width) must be 16 ft. This makes the length (x + 5) 21 ft.
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