Question:
The adjacent sides of a parallelogram are 36 cm and 27 cm in length. If the distance between the shorter sides is 12 cm, find the distance between the longer sides.
Solution:
Area of a parallelogram $=$ Base $\times$ Height
$\therefore A B \times D E=B C \times D F$
$\Rightarrow D E=\frac{B C \times D F}{A B}$
$=\frac{27 \times 12}{36}$
$=9 \mathrm{~cm}$
∴ Distance between the longer sides = 9 cm