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Mathematics 25 Online
OpenStudy (anonymous):

medal to best ANSWER with explanation

OpenStudy (anonymous):

OpenStudy (mathstudent55):

Do you know the formula for the area of a square?

OpenStudy (anonymous):

not at all

OpenStudy (mathstudent55):

Ok, here is the formula for the area of a square. Remember that a square is a rectangle that has all sides of equal length. For a rectangle, the area is A = LW You remember that?

OpenStudy (mathstudent55):

In a square, the formula is similar, but since the length and width are the same, you can call the length of all sides s, and then the area of a square is A = s^2

OpenStudy (mathstudent55):

Using the formula for the area of the square, we can find the length of the side, since we are given the area. \(A = s^2\) \(200 = s^2\) \(s^2 = 200\) \(\sqrt{s^2} = \sqrt{200} \) \(s = \sqrt{200} \) Now we know that a square that has area of 200 m^2 has a side of \(\sqrt{200}\) m.

OpenStudy (mathstudent55):

Now we can do the next step which is to find the length of the diagonal. For this we need to use the Pythagoras theorem.

OpenStudy (mathstudent55):

|dw:1399254866268:dw|

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