Question

Question 41

Fill in the blanks to make the statement true.

In the given figure, area of parallelogram BCEF is___ $c{m}^2$, where ACDF is a rectangle.

Answer 1

$35c{m}^2$
Area of parallelogram BCEF = Area of rectangle ACDF - Area of $\Delta ABF$ - Area of $\Delta CDE$
$=10\times 5-2\times (\frac{1}{2}\times 3\times 5)$ $[\because areaof\Delta ABF=areaof\Delta CDE]$
$=50-15=35c{m}^2$
[$\because$ area of triangle $=\frac{1}{2}\times base\times$ height and area of rectangle = length $\times$ breadth]