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25 votes
What is the perimeter of square whose diagonal has a length of
18 radical 2 feet?

User Azheglov
by
4.1k points

2 Answers

7 votes

Answer:

72ft

Explanation:

(18
√(2\\)) ^2 = 648

648/2=324

Root 324=18

18*4=72

User Guddu
by
4.2k points
10 votes

9514 1404 393

Answer:

72 feet

Explanation:

The diagonal of a square is √2 times the side length, so you have ...

diagonal = s·√2 = 18√2

Dividing by √2 gives ...

s = 18

The perimeter of a square is 4 times the side length, so is ...

P = 4s = 4(18) = 72

The perimeter is 72 feet.

User Vincent De Lagabbe
by
4.4k points