Question

The two adjacent sides of a parallelogram are $25$ cm and $40$ cm respectively. The altitude drawn on the longer side is $18$ cm, then the area of the parallelogram is

• A. $450{\text{cm}}^2$
• B. $720{\text{cm}}^2$
• C. $500{\text{cm}}^2$
• D. none of these

Answer 1

The correct option is B $720{\text{cm}}^2$

$ABCD$ is a parallelogram

$\Rightarrow$ $AB=CD=40cm$ and

$\Rightarrow$ $AD=BC=25cm$

$AT\perp DC$

$\therefore$ $AT=18cm$ [ Given ]

$\Rightarrow$ Area of parallelogram $ABCD=$ $Base\times Height$

$=CD\times AT$

$=40\times 18$

$=720c{m}^2$