The perimeter of the parallelogram is 95 cm. find the sides if: a) one side is 4 cm smaller than

The perimeter of the parallelogram is 95 cm. find the sides if: a) one side is 4 cm smaller than the other B) one side is 3 times larger than the other

Let us denote the lengths of the sides of the parallelogram through x and y.

According to the condition of the problem, the perimeter of the parallelogram is 95 cm, therefore, the following relation holds:

x + y = 95.

a) According to the condition of the problem, one side of the parallelogram is 4 cm less than the other, therefore, the following relation holds:

x = y + 4.

Substituting this value x into the equation x + y = 95, we get:

y + 4 + y = 95;

2y = 95 – 4;

2y = 91;

y = 45.5 cm.

x = y + 4 = 45.5 + 4 = 49.5 cm.

Answer: the sides of the parallelogram are 49.5 cm and 45.5 cm.

b) According to the condition of the problem, one side of the parallelogram is 3 times larger than the other, therefore, the following relation holds:

x = 3 * y.

Substituting this value x into the equation x + y = 95, we get:

3 * y + y = 95;

4 * y = 95;

y = 95/4;

y = 23.75 cm.

x = 3 * y = 3 * 23.75 = 71.25 cm.

Answer: the sides of the parallelogram are 71.25 cm and 23.75 cm.