Difference between revisions of "1987 AIME Problems/Problem 6"
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== Problem == | == Problem == | ||
| + | Rectangle <math>\displaystyle ABCD</math> is divided into four parts of equal area by five segments as shown in the figure, where <math>\displaystyle XY = YB + BC + CZ = ZW = WD + DA + AX</math>, and <math>\displaystyle PQ</math> is parallel to <math>\displaystyle AB</math>. Find the length of <math>\displaystyle AB</math> (in cm) if <math>\displaystyle BC = 19</math> cm and <math>\displaystyle PQ = 87</math> cm. | ||
| + | [[Image:AIME_1987_Problem_6.png]] | ||
== Solution == | == Solution == | ||
Revision as of 00:47, 11 February 2007
Problem
Rectangle 
is divided into four parts of equal area by five segments as shown in the figure, where 
, and 
is parallel to 
. Find the length of (in cm) if 
cm and 
cm.
Solution
See also
| 1987 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
