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We have some skylights and they measure 1.2m by 0.8m

Suppose both dimensions increase by 20%. What's the percent increase in
the amount of light admitted?

You have a newspaper the dimensions are

35cm by 38cm

they reduce the pages by 10%. There are 48 Pages in the newspaper,
daily circulation of 135,000.

Compare the area of the reduced page to that of the original,
expressed as a percent.

Any ideas on the proper way to do these? A formula and a explanation of why would be great!


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Solution Summary

This shows how to determine percent increase and decrease in area

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See attachment please!

ok.. so.. here's an example...

say we have some skylights... and they measure... 1.2m by 0.8m

suppose both dimensions increase by 20%. What's the percent increase in
the amount of light admitted? and no.. it's not 40%.
Solution. The original is 1.2m by 0.8m, so the area is . If both dimensions increase ...

Solution provided by:
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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