Question

In the parallelogram ABCD, AB = 6 cm and DC : CB = 2 : 1. Find the perimeter of the parallelogram ABCD.

• A. $17cm$
• B. $18cm$
• C. $19cm$
• D. $20cm$

Answer 1

The correct option is B $18cm$



In a parallelogram, the opposite sides are equal and parallel.

Given: AB = 6 cm and DC : CB = 2 : 1

In the parallelogram ABCD,
AB || DC and AD || BC, AB = CD and AD || BC
Hence, DC = 6 cm

$\text{Since,}DC:CB=2:1\frac{DC}{CB}=\frac{2}{1}\Rightarrow \frac{6}{CB}=\frac{2}{1}\Rightarrow CB=\frac{6\times 1}{2}\Rightarrow CB=3cm$

So, CB = DA = 3 cm
Perimeter = AB + BC + CD + DA
= 6 cm + 3 cm + 6 cm + 3 cm
= 18 cm