What Size Is It |
posted by alan johnston on 02 January 2008 at 12:49 pm building is square, it is 20,000 square ft, what is the length of any one side.12160 |
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My Answer To Your Problem
posted by Jeffrey R Cohen on 10 January 2008 at 10:43 pm To solve this problem you need to know that the length S of a side of a square is the square root of the area A of the square. Putting this into mathematical form we get,S = sqrt(A) = sqrt(20000) = 141.4 feet. [Note: "the square root of X" is denoted here as sqrt(X) because the normal square root symbol is not available in this screen] Suppose you didn't know the formula for the length of a side of a square when only the area of the square is known. You could derive it as follows: You know that the area A of a square is the length of any side S multiplied by itself. Expressed as a mathematical equation, this is A = S*S Now if we take the square root of both sides of the equation, we get sqrt(A) = sqrt(S*S). Now the definition of a square root is the number that is multiplied by itself is the square root of the product. So here the product is S*S, and the number that is multiplied by itself is S, so S is the square root of S*S. Now substituting S on the right side of the equation we get, sqrt(A) = S. Now just reverse the order of this equality and we get, S = sqrt(A) which is the formula we used. Jeff Cohen |
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Square Footage
posted by carol on 27 January 2009 at 2:57 pm room measures 12feet by 12feet and 7foot 6inches high, what is the square footage of this area |
