SOLUTION: Find the perimeter of a square that has diagonals 6 feet long.

Question 352672: Find the perimeter of a square that has diagonals 6 feet long.
Found 2 solutions by ewatrrr, unlockmath:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
HI,
*Note: the 2 diagonals of a square are Of equal length. Diagonals form a right trangle with the length and width, with the diagonal being the hypotenuse.
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Pythagorean Theorem gives the realtionship between the sides of a right triangle(sides meeting at a right angle) and its hypotenuse.

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Let x be the length of the each side of the square

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Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
With this we can use the Pythagorus Formula to solve the sides.
Let x be the sides of the square so our equation will be:
x^2+x^2=6^2
Rewritten as:
2x^2=36
Divide by 2 to get:
x^2=18
Sq rt both sides to get:
x=sq rt 18
There we go. A side is sq rt 18 ft or approx 4.24 feet times 4 gives us a perimeter of 16.96 feet.
Make sense?
RJ
www.math-unlock.com
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