SOLUTION: find the perimeter of a square in which the square of its diagonals is 200cmsquare

Question 1037547: find the perimeter of a square in which the square of its diagonals is 200cmsquare
Found 3 solutions by rfer, MathTherapy, ikleyn:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
200/2=100
sqrt100=10
4*10=40 cm
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

find the perimeter of a square in which the square of its diagonals is 200cmsquare

Let one of its diagonals be D

Then:
------- Substituting 50 for

S, or one side of square = 5 cm
Perimeter: 4(5), or

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
find the perimeter of a square in which the square of its diagonals is 200 cm squared.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You are given that = . Hence, D = . As everybody knows, the diagonal of a square is D = , where a is the square side. Hence, a = 10 in our case. Then the perimeter of the square is 4*10 = 40 cm. Answer. The perimeter of the square is 40 cm.

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