Magyar Information Contest Journal Articles

# Problem C. 901. (May 2007)

C. 901. The area of a rectangle ABCD is . Let P denote the point on side AB, closer to A, that divides AB in a 1:4 ratio. Given that the line segment PD is perpendicular to diagonal AC, calculate the perimeter of the rectangle.

(5 pont)

Deadline expired on 15 June 2007.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. , mert szögeik páronként egyenlők. Vagyis , amiből , vagyis . A terület: , a helyettesítés után b2=100.

Az oldalak: , b=10.

A kerület: .

### Statistics:

 164 students sent a solution. 5 points: 144 students. 4 points: 5 students. 3 points: 2 students. 2 points: 2 students. 1 point: 3 students. 0 point: 1 student. Unfair, not evaluated: 7 solutions.

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