2001 CEMC Gauss (Grade 8) Problems/Problem 14
- The following problem is from both the 2001 CEMC Gauss (Grade 8) #14 and 2001 CEMC Gauss (Grade 7) #17, so both problems redirect to this page.
Problem
A rectangular sign that has dimensions by
has a square advertisement painted on it. The border around the square is required to be at least
wide. The area of the largest square advertisement that can be painted on the sign is
Solution 1
We want to use the minimum border to get the largest square advertisement. Since the border is required to be at least wide, the minimum must be
.
Removing the border, we can see that the dimensions are m by
m.
Because we cannot fit a m by
m square on this, the maximum width of the square is
m. Thus, the largest area is:
~anabel.disher
2001 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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CEMC Gauss (Grade 8) |
2001 CEMC Gauss (Grade 7) (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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CEMC Gauss (Grade 7) |