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The perimeter of a square is 36 centimeters. Find the length of the diagonal.
Step 1. Let P be the perimeter of a square which means adding up all four sides.
Step 2. Let s be the side of a square.
Step 3 Then 4s=36 or s=9 centimeters after dividing by 4 to both sides of equation.
Step 4. Use Pythagorean Theorem to find diagonal which says that the sum of the square of the legs (=s^2+s^2=2s^2) is equal to square of the hypotenuse (diagonal in this case and letting d be the diagonal).
Step 5. ANSWER: The length of diagonal is
I hope the above steps were helpful.
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