Marinada '22

[lang=hr] Ivan i Ivan upravo su uselili u svoju novu sobu. Začudili su se koliko je prostrana. Ivan ti je dao upute kako ćeš otkriti površinu njihove sobe: "Neka se u trapezu $ABCD$ s osnovicama $\overline{AB}$ i $\overline{CD}$ dijagonale se sijeku u točki $E$, te neka su površine trokuta $\triangle ABE$ i $\triangle CDE$ redom jednake $98~\text{m}^2$ i $32~\text{m}^2$. Površina trapeza je $22$ puta veća od površine naše sobe." Kolika je površina Ivanove i Ivanove sobe (u $~\text{m}^2$)? [/lang] [lang=en] Ivan and Ivan have just moved into their new room. They were amazed at how spacious it was. Ivan gave you instructions on how to find the area of ​​their room: "Let the diagonals in the trapezoid $ABCD$ with bases $\overline{AB}$ and $\overline{CD}$ intersect at point $E$, and let the areas of the triangles $\triangle ABE$ and $\triangle CDE$ be equal to $98~\text{m}^2$ and $32~\text{m}^2$, respectively. The area of ​​the trapezoid is $22$ times larger than the area of our room." What is the area of ​​Ivan and Ivan's room (in $~\text{m}^2$)? [/lang]