The adjacent sides of a parallelogram are 36 cm and 27 cm in length.

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

 

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