Question

$E$ and $F$ are the mid points of sides $AB$ and $DC$ of the parallelogram $ABCD$. If the area of the parallelogram $EBFD$ is $20c{m}^2$, then the area of the $△BCE$ is ___ $c{m}^2$

• A. 10
• B. 11
• C. 12
• D. 13

Answer 1

The correct option is A

10

Since, the parallelogram $EBFD$ and the $△BCE$ are on the same base, $EB$ and between same parallel lines, so,

Area of $△BCE=\frac{1}{2}\times$ Area of parallelogram $EBFD$

$=\frac{1}{2}\times 20=10c{m}^2$