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

Revision as of 22:05, 17 October 2007

Problem

The rectangle $AB\Gamma \Delta$ is a small garden divided to the rectangle $AXE\Delta$ 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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@@ Line 4: / Line 4: @@
 </div>
-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
+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
 A. <math>24m^2</math>

2006 Cyprus MO, Lyceum (Problems)
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Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 14"

Revision as of 22:05, 17 October 2007

Problem

Solution

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