Question

If the ratio of the sides of the paralleogram is 3:4 and the perimeter is 28 cm, then find the length of the shorter side of the parallelogram.

• A. 6 cm
• B. 8 cm
• C. 10 cm
• D. 3 cm

Answer 1

The correct option is A 6 cm

Let PQRS be a parallelogram

Let , PQ = SR = 3k ; PS = QR = 4k​

Perimeter = 28 cm (Given)​

Perimeter = PQ + QR + SR + PS = 28

3k + 4k + 3k + 4k = 28​

14k = 28

k = 2

Hence, PQ = SR = 3k = 6 cm​

Similarly, PS = QR = 4k = 8 cm

$\therefore$ The length of the shorter side is 6 cm.