In △ABC, D and E are points on the sides AB and AC, respectively, such that DE||BC and DE : BC = 6 : 7.(Area of △ADE) : (Area of traprezium BCED) = ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 36 : 13
Here DE || BC so one can say that △ABC and △ADE are similar.
Area of △ADE : Area of △ABC = (6 : 7)2
Area of △ADE : Area of △ABC = 36 : 49
Area of △ADE : (Area of traprezium BCED) = 36 : 49 - 36
Area of △ADE : (Area of traprezium BCED) = 36 : 13.