Question

Rectangle ABCD is dilated with a center at (0, 0) and a scale factor of 1. What is the perimeter of the dilated rectangle? Enter the answer as a whole number in the box.

units

Answer 1

12 units

Explanation:

You want to know the perimeter of rectangle ABCD after it has been dilated by a factor of 1.

Perimeter

The original rectangle ABCD has a perimeter of ...

P = 2(L +W) = 2(4 +2) = 12

The perimeter of the dilated rectangle is the original perimeter multiplied by the dilation factor:

P' = 12·1 = 12

The dilated rectangle has a perimeter of 12 units.

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Additional comment

Dilation by a factor of 1 changes nothing at all. The center of dilation is irrelevant.