Question

In the given figure ABCD is a parallelogram. The area of $△AID$ = _____ $\times$ area of parallelogram ABCD.

• A. $\frac{1}{3}$
• B. $\frac{1}{2}$
• C. $1$
• D. $\frac{1}{4}$

Answer 1

The correct option is B $\frac{1}{2}$


AD || BC ..... (ABCD is a parallelogram)
Thus AD || BI as the points B, C , I all lie on the same line.

Area of triangle on the same base (AD) and between the same parallels is half the area of parallelogram.

$\therefore$ Area of $△AID$ = $\frac{1}{2}\times$ Area of parallelogram ABCD