Question

ABCD is a rectangle of area $40c{m}^2$. If X is any point on AB, then what is the area of $\Delta XCD$ ?

• A. $40c{m}^2$
• B. $Noneofthese$
• C. $20c{m}^2$
• D. $80c{m}^2$

Answer 1

The correct option is C

$20c{m}^2$

If a triangle and a parallelogram are on the same base and between the same parallels, then the area of triangle is equal to the half of parallelogram.
$\text{Therefore, area of}\Delta XCD\text{will be}\frac{1}{2}\times 40=20c{m}^2$