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Grade 9 Math

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There is one large rectangle ABCD, top line is AD and bottom is BC.

A vertical line is drawn from the top to bottom called GH (between points AD and BC).

A line is drawn from left to right called EF (between points AB and GH).

AEFG is Rectangle 1.
EBHF is Rectangle 2.
GHCD is Rectangle 3.

All three rectangles are similar.

Length of line AE (vertical) is 4cm.
Length of line EB (vertical) is 9cm.

What is the area of rectangle GHCD ?

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