SOLUTION: the perimeter of a square is 20 cm. find the length of the diangonal.

Question 215349: the perimeter of a square is 20 cm. find the length of the diangonal.
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The perimeter of a square is 20 cm. Find the length of the diagonal.

Step 1. We'll use the Pythagorean Theorem which states that the sum of the square of the sides or legs of a right triangle is equal to the square of the hypotenuse or and for this example, c is the diagonal and a=b is the side since it's a square.

Step 2. So with a=b then or c=a*sqrt(2) and

Step 3. Perimeter P means that we add up all the form sides or or . If P=20, then or cm

Step 4. The diagonal is 7.07 cm.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J

Answer by MathTherapy(10858) (Show Source): You can put this solution on YOUR website!
Since the perimeter of the square is 20 cm, then each side = cm
By letting diagonal equal D, and using the Pythagorean formula, , we get:
------- = 7.07
Therefore, length of the diagonal, or D = cm.

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