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Geometry

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Similar Polygons: Finding the Side Length of a Square

GEOM-VCR7SW

Two similar squares have a scale factor of $\cfrac {\sqrt {5}} {2}$. The area of the bigger square is $110\text { square meters}$.

What is the side length of the smaller square?

A

$\cfrac {5} {4}\text { meters}$

B

$2\sqrt {22}\text { meters}$

C

$44\sqrt {5}\text { meters}$

D

$88\text { meters}$