Question

The adjacent sides of a parallelogram are $8m$ and $5m$. The distance between the longer sides is $4m$. What is the distance between the shorter sides?

• A. $6.4m$
• B. $6m$
• C. $8.6m$
• D. $Noneofthese$

Answer 1

Answer: (A)

$6.4m$

Area of the parallelogram $=$ Longer side $\times$ Distance between them
$=8m\times 4m=32m^2$
Also, area of the parallelogram $=$ Shorter side $\times$ Distance between shorter sides
$\Rightarrow 32m^2=5m\times$ Distance between shorter sides
$\Rightarrow$ Distance between shorter sides $\frac{32m^2}{5m}$$=6.4m$