Question

One diagonal of a parallelogram is $40cm$ and the perpendicular distance of this diagonal from either of the outlying vertices is $19cm$. The area of the parallelogram (in sq. cm) is

• A. $700c{m}^2$
• B. $380c{m}^2$
• C. $760c{m}^2$
• D. $1140c{m}^2$

Answer 1

The correct option is C $760c{m}^2$

Area of the parallelogram $=$ Area of $\Delta ABC+$ Area of $\Delta ACD$

$=\frac{1}{2}\times 40\times 19c{m}^2+\frac{1}{2}\times 40\times 19c{m}^2$

$=380c{m}^2+380c{m}^2$

$=760c{m}^2$