2006 Cyprus MO/Lyceum/Problem 14

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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2006 Cyprus MO, Lyceum (Problems)
Preceded by Problem 13	Followed by Problem 15
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2006 Cyprus MO/Lyceum/Problem 14

Problem

Solution

See also