SOLUTION: would you be able to expalain to me this problem the dimensions of a 8 cm x 8 cm square are increased by a scale factor of 5. Determine the area?

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Question 758429: would you be able to expalain to me this problem
the dimensions of a 8 cm x 8 cm square are increased by a scale factor of 5. Determine the area?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the dimensions are 8 * 8.
the area is 8^ = 64
if you multiply the dimnensions by 5, then the area will be increased by a factor of 5^2 = 25.
example:
8 * 8 are the original measurements.
mulitply each dimension by a factor of 5 to get:
40 * 40 are the revised measurements.
the revised area is equal to 40 * 40 = 1600 which is equal to 25 * 64.
if the original dimnensions are x * x, then the revised measurements would be equal to (5x) * (5x) which is equal to 5*x*5*x which is equal to 5*5*x*x which is equal to 25*x^2.