Difference between revisions of "2015 AMC 8 Problems/Problem 25"
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+ | == Problem == | ||
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One-inch squares are cut from the corners of this 5 inch square. What is the area in square inches of the largest square that can be fitted into the remaining space? | One-inch squares are cut from the corners of this 5 inch square. What is the area in square inches of the largest square that can be fitted into the remaining space? | ||
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<asy> | <asy> | ||
+ | size(75); | ||
draw((0,0)--(0,5)--(5,5)--(5,0)--cycle); | draw((0,0)--(0,5)--(5,5)--(5,0)--cycle); | ||
filldraw((0,4)--(1,4)--(1,5)--(0,5)--cycle, gray); | filldraw((0,4)--(1,4)--(1,5)--(0,5)--cycle, gray); | ||
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</asy> | </asy> | ||
− | + | <math>\textbf{(A) } 9\qquad \textbf{(B) } 12\frac{1}{2}\qquad \textbf{(C) } 15\qquad \textbf{(D) } 15\frac{1}{2}\qquad \textbf{(E) } 17</math> | |
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− | + | ==Video Solutions== | |
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− | + | https://youtu.be/rTljQV79PCY | |
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− | + | ~savannahsolver | |
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− | + | https://youtu.be/51K3uCzntWs?t=3358 | |
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− | + | ~ pi_is_3.14 | |
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− | + | ==See Also== | |
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− | + | {{AMC8 box|year=2015|num-b=24|after=Last Problem}} | |
+ | {{MAA Notice}} |
Latest revision as of 10:02, 23 July 2024
Problem
One-inch squares are cut from the corners of this 5 inch square. What is the area in square inches of the largest square that can be fitted into the remaining space?
Video Solutions
~savannahsolver
https://youtu.be/51K3uCzntWs?t=3358
~ pi_is_3.14
See Also
2015 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 24 |
Followed by Last Problem | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.