Question

The perimeter of the parallelogram ABCD is 24 cm with its two adjacent sides in the ratio 2:1. Find the length of these two adjacent side.

• A. 6 cm, 3 cm
• B. 4 cm, 2 cm
• C. 8 cm, 4 cm
• D. 10 cm, 5 cm

Answer 1

The correct option is C 8 cm, 4 cm



Given ABCD is a parallelogram, with two adjacent sides AB and BC being in the ratio 2:1 and its perimeter being 24 cm.

Let the length of side AB and BC be 2x and x respectively.

Since the opposite sides of a parallelogram are equal,

AB= CD = 2x cm and BC = AD = x cm

Now, perimeter = 24 cm

$\Rightarrow$ AB + BC + CD + AD = 24 cm

$\Rightarrow$ 2x + x + 2x + x = 24 cm

$\Rightarrow$ 6x = 24 cm

$\Rightarrow$ x = 4 cm

$\therefore$ The length of the adjacent sides AB and BC are 8 cm and 4cm respectively.