The perimeter of the parallelogram is 48cm. what are the sides of a parallelogram if it is known
The perimeter of the parallelogram is 48cm. what are the sides of a parallelogram if it is known that 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.
So, from the condition it is known that one of the sides of the parallelogram is 3 times larger than the other, and its perimeter is 48 cm.
Opposite sides of a parallelogram are equal to each other.
Let’s denote by x cm the length of the smaller side, then the length of the second side is 3x cm.
P = 2 (a + b);
2 (3x + x) = 48;
3x + x = 48: 2;
x (3 + 1) = 24;
4x = 24;
x = 24: 4;
x = 6 cm length of the smaller side and 6 * 3 = 18 cm length of the larger side.