Problem:
Jorge's teacher asks him to plot all the ordered pairs of positive integers for which is the width and is the length of a rectangle with area . What should his graph look like?
Answer Choices:
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B.
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E.
Solution:
When the area of a rectangle is square units and the sides are integers, the factors of are the possible lengths of the sides. In point form, the side lengths could be , , , , and . Only graph fits these points.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions