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Area Ratio of Rectangles

GMAT-OWJNGH

If the ratio of the widths of rectangle $A$ to rectangle $B$ is $1:2$, what is the ratio of the areas of $B:A$ if rectangle $A$ and rectangle $B$ are similar?

A

$1:2$

B

$2:1$

C

$1:4$

D

$4:1$

E

$2:4$