The half-perimeter of a parallelogram is 32cm; its smaller side is 15cm. Find the larger side of the parallelogram.

From the condition, we know that the half-perimeter of the parallelogram is 32 cm. And it is also known that its smaller side is 15 cm. We need to calculate the length of the larger side of the parallelogram.

Let’s start by recalling the formula for calculating the perimeter of a parallelogram. This formula is the same as for calculating the perimeter of a rectangle:

P = 2 (a + b), where a and b are the length and width of the rectangle, respectively.

The half perimeter is:

P / 2 = 2 (a + b) / 2;

P / 2 = a + b.

It remains to substitute the value and calculate:

15 + b = 32;

b = 32-15;

b = 17 cm large side.