Question

$ABCD$ and $BCFE$ are parallelograms. If area of $△EBC=960c{m}^2$; $AB=30cm$ and $BC=40cm$; Calculate area of parallelogram $ABCD$:

• A. $960c{m}^2$
• B. $860c{m}^2$
• C. $280c{m}^2$
• D. $130c{m}^2$
• E. $1960c{m}^2$
  

Answer 1

The correct option is E $1960c{m}^2$

In given figure parallelograms ABCD and BCEF on same base and same height

And triangle EBC =960 sq cm is on the same base and same height BC =40 cm

Then height is h

Then $960=\frac{1}{2}\times 40\times h$

$\Rightarrow h=48cm$

The parallelogram ABCD and triangle EBC are same base and same height

So the area of parallelogram ABCD=$40\times 48=1920c{m}^2$