Marinada '21

[lang=hr] Dok Jasna uživa u kupanju, sunčanju i gnjavaži, njenoj sestri Mirti je stoput bolje sjediti na zadnjem sjedištu Jasninog auta i slagati origami. Mirta ima papir u obliku pravokutnika čiji je opseg $66cm$ te je njegove vrhove označila slovima $A,B,C,D$, a polovište stranice $\overline{AB}$ s $E$. Primijetila je da je opseg trokuta koji tvore točke $B$, $C$ i $E$ $36cm$, a opseg četverokuta koji nastaje kada otrgne trokut $BCE$ od početnog papira $60cm$. Kolika je površine trokuta $BCE$ (u $cm^2$)? [/lang] [lang=en] While Jasna is enjoying swimming, sunbathing, and the hassle of going to the beach, her sister Mirta finds sitting on the backseat of Jasna's car and folding origami a hundred times better. Mirta has a piece of paper in the shape of a rectangle with circumference $66cm$ and she marked its corner points with $A,B,C,D$ and the midpoint of $\overline{AB}$ with $E$. She noticed that the circumference of the triangle formed by the points $B$, $C$ and $E$ is $36cm$, while the circumference of the quadrilateral formed by ripping off triangle $BCE$ from the original paper is $60cm$. What is the area of triangle $BCE$ (in $cm^2$)? [/lang]