Question

A rectangle and a parallelogram have equal areas. If the sides of the rectangle are $10m$ and $12m$ and the base of the parallelogram is $20m$, then the altitude of the parallelogram is:

• A. $7m$
• B. $6m$
• C. $5m$
• D. $3m$

Answer 1

The correct option is B $6m$

Area of the rectangle $=l\times b=10m\times 12m$
$=120m^2$
Area of parallelogram $=Base\times Altitude=120m^2$
$\Rightarrow$ Altitude $=\frac{Area}{Base}=\frac{120m^2}{20m}=6m$