Question

If the base and altitude of a parallelogram are doubled, what happens to the area compared to the original one?

• A. $8$ times original
• B. $2$ times original
• C. $4$ times original
• D. Remains same

Answer 1

Answer: (C)

$4$ times original

Area of parallelogram $S_1=bh$, where $b$ is the base and $h$ is the height.

New Area, $S_2=2b\times 2h$

$=4bh$

$=4S_1$

Hence, the area becomes $4$ times the original area.