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A rectangle has an area of 10^2. If each side has its length

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A rectangle has an area of 10^2. If each side has its length tripled, what is the new area?Please explain what calculations are necessary to get the correct answer.
Submitted: 1 year ago.
Category: Math
Expert:  Ryan replied 1 year ago.
Hi, Thank you for using the site. I'll be happy to help you with this. Since each side triples in length, the area will be multiplied by a factor of 3 * 3 = 9. So an area of 10^2 (which is equal to 100) will become an area of 9 * 100 = 900 square units. To see that this works, imagine that this rectangle has a length of 10 units and a width of 10 units. (Of course, that makes this a square, but a square is still a rectangle.) If the length and width are both tripled, then they are each 30 units instead of 10 units. The new area would be 30 * 30 = 900 square units, which matches what we got before. You can also see this in symbolic form. The area of the original rectangle is L * W. When each of them triple, the new area is 3L * 3W = 3 * 3 * L * W = 9 * L * W, which is again 9 times the original area. Please feel free to ask if you have any additional questions about this. Thanks, Ryan
Ryan, Engineer
Category: Math
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Experience: B.S. in Civil Engineering
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