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2022 AMC 10A Problems/Problem 10

Revision as of 00:49, 12 November 2022 by Usamo333 (talk | contribs) (Created page with "== Problem == Problem 10 Daniel finds a rectangular index card and measures its diagonal to be 8 centimeters. Daniel then cuts out equal squares of side 1 cm at two opposite c...")
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Problem

Problem 10 Daniel finds a rectangular index card and measures its diagonal to be 8 centimeters. Daniel then cuts out equal squares of side 1 cm at two opposite corners of the index card and measures the distance between the two closest vertices of these squares to be centimeters, as shown below. What is the area of the original index card? $\textbf{(A) }14 \qquad \textbf{(B) }10sqrt(2) \qquad \textbf{(C) }16 \qquad \textbf{(D) }12sqrt(2) \qquad \textbf{(E) }18$ 14 10sqrt(2) 16 12sqrt(2) 18

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