ITMC 2026 Grade 8 National Preliminary sample-r1 Question 17

In trapezoid $ABCD$, $AB\parallel CD$ and diagonals meet at $E$. If $[ABE]=25$ and $[ADE]=20$, find $[ABCD]$.

Here $[ABE]$ and $[ADE]$ denote the areas of the corresponding triangles, and $[ABCD]$ denotes the area of the trapezoid.