Question

Two sides of a parallelogram are in the ratio 4 : 3. If its perimeter is 56 cm, find the lengths of its sides.

• A. 14 cm, 10 cm, 14 cm and 10 cm
• B. 16 cm, 12 cm, 16 cm and 12 cm
• C. 14 cm, 12 cm, 14 cm and 12 cm
• D. 16 cm, 10 cm, 16 cm and 10 cm

Answer 1

The correct option is B

16 cm, 12 cm, 16 cm and 12 cm

Two sides of a parallelogram are in the ratio 4 : 3.

Let the two sides be $4x$ cm and $3x$ cm.

In a parallelogram, opposite sides are equal and parallel. So, they are also in the ratio of 4 : 3, i.e. $4x$ cm and $3x$ cm.

Perimeter = $4x+3x+4x+3x$

$\Rightarrow 56=14x$

$\Rightarrow x=\frac{56}{14}$

$\Rightarrow x=4$

$\Rightarrow$ $4x=16$ and $3x=12$

Hence, lengths of its sides are 16 cm, 12 cm, 16 cm and 12 cm.