Question 165644: The problem is - a rectangle has an area of 16ft^2. Every dimension is multiplied by a scale factor, and the new rectangle has an area of 64ft^2. What was the scale factor? The answer is to be formatted as "k = " I have no idea how to go about doing this problem. Can you help me, please?
Answer by gonzo(654)   (Show Source):
You can put this solution on YOUR website! L*W = 16
K*L*K*W = 64
since a*b = b*a, and (a)*(b*c) = (a*b)*(c), this equation can become
(K*K)*(L*W) = 64
since L*W = 16, this equation can become
(K*K)*(16) = 64
divide both sides by 16
K*K = 64/16 = 4
K*K = 4
K = 2
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your scaling factor is 2.
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you multiply each dimension by 2 which means the whole thing is multiplied by 4.
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