SOLUTION: Question: Measurement of a piece of papers is 27.5 cm (length) x 21 cm (width). What is the area of a page in square centimeters? What is it in square millimeters? I believ

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Question 178141: Question:
Measurement of a piece of papers is 27.5 cm (length) x 21 cm (width). What is the area of a page in square centimeters? What is it in square millimeters?
I believe the answer to square centimeters is 577.5 cm^2 (27.5 x 21)
Not sure what the square millimeter is? I got 5775.00 mm^2. Not sure if that is correct? (1 centimeter is equivalent to 10 millimeters) Right? When I check my answer on a conversion calculator it comes up with 57750.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

The conversion calculator is right. And you are right that 1 cm = 10 mm. But what you did is take the answer in sq cm, 577.5, and then multiplied it by 10. What you needed to do was take the two given measurements and multiply EACH of them by 10 and then multiply the two measurements. In effect, that multiplies your sq cm answer by 100, because you have introduced 2 factors of 10.



Another way to look at it is if 1 cm = 10 mm, then a sq cm is 1 cm times 1 cm which is the same as 10 mm times 10 mm which is 100 sq mm.


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