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ABCD and DECF are both squares. If AC = 28 millimeters, what is the perimeter of DECF?

1 Answer

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AC is the diagonal of the square.
To find the side length use Pythagorean Theorem.
a^2 + a^2 = 28^2
2a^2 = 784
a^2 = 392
a = sqrt 392
Perimeter = 4a where a is the length of the side
P = 4Sqrt392
P = 79.2 millimeters
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