The perimeter of a parallelogram is 36 cm. Find the sides of the parallel of a gram if one side is 3

| March 5, 2021 | education

The perimeter of a parallelogram is 36 cm. Find the sides of the parallel of a gram if one side is 3 times larger than the other.

In order to find the sides of a parallelogram, we will recall the properties of the sides of a parallelogram and the formula for finding the perimeter of a parallelogram.

It is known from the condition that one of the sides of the parallelogram is 3 times larger than the second, and its perimeter is 36 cm.

Opposite sides of a parallelogram are equal to each other. That is, we denote the length of one pair of sides as x cm, then we write the length of the second pair of sides as 3x cm.

P = 2 (a + b);

2 (x + 3x) = 36;

x + 3x = 36: 2;

x (1 + 3) = 18;

4x = 18;

x = 18: 4;

x = 4.5 cm is the length of one pair of sides of the parallelogram, then 4.5 * 3 = 13.5 cm is the length of the second pair of sides.



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