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If rectangle ABCD is dilated by a scale factor of 1.5 with a center of dilation at vertex A, how does the area of A'B'C'D' compare with the area of ABCD?

Respuesta :

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Answer:

A’/A = 2.25

Step-by-step explanation:

Let the length and width of ABCD be l and w respectively.

A = lw

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For rectangle A’B’C’D’  

l’ = 1.5l and w’ = 1.5w

A’ = l’w’

A’ = 1.5l × 1.5 w

A’ = 2.25 lw

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A’/A = 2.25lw/(lw)     Cancel lw

A’/A = 2.25

The area of the dilated rectangle is 2.25 times that of the original.

afjsljla

Answer:

The answer is "D"

Step-by-step explanation: