Question

Two adjacent sides of parallelogram are $24cm$ and $18cm$. If the distance between the longer sides is $12cm$; find the distance between the shorter sides.

• A. $9cm$
• B. $16cm$
• C. $24cm$
• D. Data insufficient

Answer 1

The correct option is B $16cm$

Area of parallelogram $=base\times height$
Since, $base=CD,height=AE$
Area of parallelogram $=CD\times AE$
$=24\times 12$ ....(1)
now we take $base=BC,height=DF$$Areaofparallelogram$= BC \times DF= 18 \times DF$....\left(2\right)$\therefore 24 \times 12= 18 \times DF \Rightarrow \dfrac {24 \times 12}{18}= DF \Rightarrow DF = 16cm\therefore$distancebetweenshortersides$= DF = 16cm$