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2011 AMC 10B Problems/Problem 3

Revision as of 12:26, 27 March 2011 by Mathwarrior557 (talk | contribs) (Created page with '== Problem == At a store, when a length is reported as <math>x</math> inches that means the length is at least <math>x-0.5</math> inches and at most <math>x+0.5</math> inches. S…')
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Problem

At a store, when a length is reported as $x$ inches that means the length is at least $x-0.5$ inches and at most $x+0.5$ inches. Suppose the dimensions of a rectangular tile are reported as 2 inches by 3 inches. In square inches, what is the minimum area for the rectangle?

(A) 3.75 (B) 4.5 (C) 5 (D) 6 (E) 8.75

Solution

The minimum dimensions of the rectangle is 1.5 inches by 2.5 inches. The minimum area is (A) $1.5\times2.5=\boxed{3.75}$ inches.

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