Question

In the figure below, area (ABCD) = 1728 square units. Find the area of $\Delta$ BEC.

• A. 1728 square units
• B. 864 square units
• C. 432 square units
• D. Can't be found

Answer 1

The correct option is B

864 square units

If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.

So, Area (BEC) = $\frac{1}{2}$ × Area (ABCD)

Area (BEC) = $\frac{1}{2}$ × 1728 square units

= 864 square units