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Rectangle ABCD is dilated by a scale factor of 3 with the center dilation at (0,0). What is the area, in square units, of resulting dilated rectangle A’B’C’D’

Rectangle ABCD is dilated by a scale factor of 3 with the center dilation at 00 What is the area in square units of resulting dilated rectangle ABCD class=

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Answer:

216

Step-by-step explanation:

The area dilation ratio is the square of the length dilation ratio

The area of the original  rectangle is 6*4=24

the length dilation ratio is 1:3

the area dilation ratio would be 1:3² which is 1:9

The resulted area=24*9

=216