Difference between revisions of "1968 AHSME Problems/Problem 31"
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| − | {{AHSME box|year=1968|num-b=30|num-a=32}} | + | {{AHSME 35p box|year=1968|num-b=30|num-a=32}} |
[[Category:Intermediate Geometry Problems]] | [[Category:Intermediate Geometry Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 00:53, 16 August 2023
Problem
![[asy] draw((0,0)--(10,20*sqrt(3)/2)--(20,0)--cycle,black+linewidth(.75)); draw((20,0)--(20,12)--(32,12)--(32,0)--cycle,black+linewidth(.75)); draw((32,0)--(37,10*sqrt(3)/2)--(42,0)--cycle,black+linewidth(.75)); MP("I",(10,0),N);MP("II",(26,0),N);MP("III",(37,0),N); MP("A",(0,0),S);MP("B",(20,0),S);MP("C",(32,0),S);MP("D",(42,0),S); [/asy]](http://latex.artofproblemsolving.com/7/2/d/72d20f34a21f4d35e2f011ff1523d4b9e962577c.png)
In this diagram, not drawn to scale, Figures 
and 
are equilateral triangular regions with respective areas of 
and 
square inches. Figure 
is a square region with area 
square inches. Let the length of segment 
be decreased by 
% of itself, while the lengths of 
and 
remain unchanged. The percent decrease in the area of the square is:
Solution
See also
| 1968 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 30 |
Followed by Problem 32 | |
| 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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
