Question

AE $\parallel$ BC and D is the mid-point of BC. If area ( $△$ABC) = 84 square cm, what is area of $△$BED?

• A. 21 square cm
• B. 42 square cm
• C. 63 square cm
• D. 84 square cm

Answer 1

The correct option is B

42 square cm

If we draw EC, we can see that $△$ABC and $△$BEC will have equal area. Every parameter is same except the length of the base.

Base length ($△$ABC) = 2 × Base length ($△$BEC)

So, Area ($△$ABC) = 2 × Area ($△$BEC)

Area ($△$BEC) = 42 square cm