Desmos Graphing Calculator

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Math·Geometry and Trigonometry·Area and volume

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Rectangle $ABCD$ is similar to rectangle $EFGH$. The area of rectangle $ABCD$ is $648$ square inches, and the area of rectangle $EFGH$ is $72$ square inches. The length of the longest side of rectangle $ABCD$ is $36$ inches. What is the length, in inches, of the longest side of rectangle $EFGH$?

A

$4$

B

$9$

C

$12$

D

$36$