Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 14"

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The rectangle <math>AB\Gamma \Delta</math> is a small garden divided to the rectangle <math>AXE\Delta</math> and to the square <math>ZB\Gamma E</math>, so that <math>AE=2\sqrt{5}m</math> and the shaded area of the triangle <math>\Delta BE</math> is <math>4m^2</math>. The area of the whole garden is
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The rectangle <math>AB\Gamma \Delta</math> is a small garden divided to the rectangle <math>AZE\Delta</math> and to the square <math>ZB\Gamma E</math>, so that <math>AE=2\sqrt{5}m</math> and the shaded area of the triangle <math>\Delta BE</math> is <math>4m^2</math>. The area of the whole garden is
  
 
A. <math>24m^2</math>
 
A. <math>24m^2</math>

Revision as of 21:06, 17 October 2007

Problem

2006 CyMO-14.PNG

The rectangle $AB\Gamma \Delta$ is a small garden divided to the rectangle $AZE\Delta$ and to the square $ZB\Gamma E$, so that $AE=2\sqrt{5}m$ and the shaded area of the triangle $\Delta BE$ is $4m^2$. The area of the whole garden is

A. $24m^2$

B. $20m^2$

C. $16m^2$

D. $32m^2$

E. $10\sqrt5m^2$

Solution

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See also

2006 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 13
Followed by
Problem 15
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