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Math·Geometry and Trigonometry·Area and volume

hard

Trapezoid	Area (square inches)
Trapezoid ABCD	440
Trapezoid EFGH	11,000

Trapezoid $ABCD$ is similar to trapezoid $EFGH$, where $A$, $B$, $C$, and $D$ correspond to $E$, $F$, $G$, and $H$, respectively. The length of side $AB$ is $55$ inches. What is the length, in inches, of side $EF$?

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