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

Question

01-05-2018
Mathematics

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

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calculista calculista · Answer 1 · 2018-05-11T16:33:41+02:00

calculista calculista

11-05-2018

the complete question in the attached figure

we know that

in the square ABCD
diagonal AC is equal to diagonal BD
EC=AC/2--------> EC=28/2-----> 14 mm

EC is the length side of the square DECF
so
perimeter of the square DECF=4*EC------> 4*14-----> 56 mm

the answer is
56 mm

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