Question

The perimeter of a parallelogram is 170 cm. One of its sides is greater than the other by 15 cm. What is the length of the larger side of the parallelogram (in cm)?

• A. 50

Answer 1

The correct option is A 50
$\text{Let one side of a parallelogram}=xcm\Rightarrow \text{The other side of the}\text{parallelogram}=(x+15)cm$

We know that the opposite sides of a parallelogram are equal.

$\text{Hence, the remaining two sides are of}\text{lengths}xcm\text{and}(x+15)cm.$

$\text{Perimeter of the parallelogram}=xcm+(x+15)cm+xcm+(x+15)cm=170\Rightarrow 4x+30=170\Rightarrow x=35cm\Rightarrow x+15=50cm\therefore \text{The length of the larger side}=50cm$