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2022 AMC 10A Problem 10

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2022 AMC 10A Problem 10AMC 10 Step by Step

Name: Date: September 13, 2026

Quadrilaterals & Polygon Areas · difficulty 3 of 5 · about 4 min · position P1-10

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 $4\sqrt{2}$ centimeters, as shown below. What is the area of the original index card?

A)
$14$
B)
$10\sqrt{2}$
C)
$16$
D)
$12\sqrt{2}$
E)
$18$

2022 AMC 10A Problem 10

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