Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 14"
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==Problem== | ==Problem== | ||
| − | { | + | <div style="float:right"> |
| + | [[Image:2006 CyMO-14.PNG|250px]] | ||
| + | </div> | ||
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| + | The rectangle <math>ABCD</math> is a small garden divided to the rectangle <math>AXED</math> and to the square <math>ZBCE</math>, so that <math>AE=2\sqrt{5}m</math> and the shaded area of the triangle <math>DBE</math> is <math>4m^2</math>. The area of the whole garden is | ||
| + | |||
| + | A. <math>24m^2</math> | ||
| + | |||
| + | B. <math>20m^2</math> | ||
| + | |||
| + | C. <math>16m^2</math> | ||
| + | |||
| + | D. <math>32m^2</math> | ||
| + | |||
| + | E. <math>10\sqrt5m^2</math> | ||
==Solution== | ==Solution== | ||
Revision as of 20:58, 17 October 2007
Problem
The rectangle 
is a small garden divided to the rectangle 
and to the square 
, so that 
and the shaded area of the triangle 
is 
. The area of the whole garden is
A. 
B. 
C. 
D. 
E. 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2006 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 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 | ||
