If the side of every square is 2 centimeters, how many centimeters is the circumfence of the figure? *if you cant see the photo, click on it*

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asked Nov 8, 2022 147k views

22 votes

If the side of every square is 2 centimeters, how many centimeters is the circumfence of the figure?

*if you cant see the photo, click on it*

If the side of every square is 2 centimeters, how many centimeters is the circumfence-example-1

Mathematics
high-school

SebDieBln asked

by SebDieBln

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1 Answer

10 votes

Answer:

76 cm

Explanation:

$|FE| = |CB| = 4\cdot2=8\,cm\\\\|ED|=|DC|= √((3\cdot2)^2+(4\cdot2)^2)= √(6^2+8^2)=√(100)=10\,cm\\\\|FA|=|AB|= √((6\cdot2)^2+(8\cdot2)^2)= √(144+256)=√(400)=20\,cm\\\\\\Circumference = FE+ED+DC+CA+AB+FA\\\\Circumference =8+10+10+8+20+20=76\,cm$