Question:
The adjacent sides of a parallelogram are 32 cm and 24 cm. If the distance between the longer sides is 17.4 cm, find hte distance between the shorter sides.
Solution:
Longer side = 32 cm
Shorter side = 24 cm
Let the distance between the shorter sides be x cm.
Area of a parallelogram = Longer side $\times$ Distance between the longer sides
$=$ Shorter side $\times$ Distance between the shorter sides
or, $32 \times 17.4=24 \times x$
or, $x=\frac{32 \times 17.4}{24}=23.2 \mathrm{~cm}$
∴ Distance between the shorter sides = 23.2 cm