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baileymayfield baileymayfield
  • 29-01-2015
  • Mathematics
Answered

The perimeter of a square is 32 feet. Find the length of one of the diagonals

The perimeter of a square is 32 feet. Find the length of one of the diagonals class=

Verified Answer :

Anonymous Anonymous
  • 29-01-2015

32/4 is 8, so we know that the lengths of the sides are 8 feet.

Because of this I can safely say that the diagonal of the square is 8√2 feet long.

Here's my proof:

\(c=\sqrt { { 8 }^{ 2 }+{ 8 }^{ 2 } } \\ \\ =\sqrt { 64+64 } \\ \\ =\sqrt { 64\cdot 2 } \\ \\ =\sqrt { 64 } \sqrt { 2 } \\ \\ =8\sqrt { 2 }\)

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razan30 razan30
  • 29-01-2015

The length it's 8 feet .

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