Let A, B and C denote the vertices of a triangle with area 10. Let point D be on side AB,
point E be on side BC and point F be on side CA with AD = 2 and DB = 3. The area of
△ABE and the area of quadrilateral DBEF are the same. What is the value of this area?
Correct answer: B
Explanation
First, note that 4AFD and 4AFE have the same area. Therefore, ED is parallel to AF.
Since 4DEB and 4ACB are similar, BE=EC = 3=2. Thus, the area of 4AEB is 3=5ths of the
area of 4ABC.
correct answer B
Loading…
Searched on YouTube by reporting category, not by question text. Open this search on YouTube →
AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.