if rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A’B’C’D’?

Question

if rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A’B’C’D’?

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Everleigh 2 weeks 2021-11-22T04:03:15+00:00 2 Answers 0

Answers ( )

    0
    2021-11-22T04:04:52+00:00

    Answer:

    The perimeter

    Step-by-step explanation:

    0
    2021-11-22T04:05:05+00:00

    Answer:

    The perimeter of the rectangle A’B’C’D’ = 6 times the perimeter of rectangle ABCD.

    Step-by-step explanation:

    If a rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, then D = 3D’

    Therefore, the length and width of the dilated rectangle A’B’C’D’ by the scale factor of 3.

    Therefore,  A’B’= 3 AB and A’D’= 3 AD

    Perimeter of the rectangle ABCD = 2(length +  width)

    = 2(AB + AD)

    Perimeter of the rectangle A’B’C’D’ = 2(A’B’ + A’D’)

    Now plug in A’B’ = 3 AB and A’D’ = 3 AD

    Perimeter of  of the rectangle A’B’C’D’ = 2(3 AB + 3 AD) = 2(3)(AB + AD)

    Perimeter of the rectangle A’B’C’D’ = 6( AB  + AD)

    So, the perimeter of the rectangle A’B’C’D’ = 6 times the perimeter of rectangle ABCD.

    Therefore, the answer is  the perimeter of the rectangle A’B’C’D’ = 6 times the perimeter of rectangle ABCD.

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