Question

One diagonal of a parallelogram is $70cm$ and the perpendicular distance of this diagonal from either of the outlying vertices is $27cm$. The area of parallelogram in $\left(c{m}^2\right)$ is

• A. $1800$
• B. $1836$
• C. $1890$
• D. $1990$

Answer 1

The correct option is C $1890$

Area of parallelogram ABCD

= Area of $△ABC+$ Area of $△ACD$

$=(\frac{1}{2}\times 70\times 27+\frac{1}{2}\times 70\times 27)c{m}^2$

$=70\times 27c{m}^2=1890c{m}^2$