The perimeter of the parallelogram is 60 cm. One of its sides is 6 cm smaller than the other.
The perimeter of the parallelogram is 60 cm. One of its sides is 6 cm smaller than the other. Find the sides of the parallelogram.
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 6 cm less than the other, and its perimeter is 60 cm.
We denote one pair of sides as x cm, then we write the length of the second pair of sides as (x – 6) cm.
P = 2 (a + b);
2 (x + (x – 6)) = 60;
x + x – 6 = 60: 2;
2x – 6 = 30;
2x = 30 + 6;
x = 36: 2;
x = 18 cm is the length of one pair of sides of the parallelogram, then 18 – 6 = 12 cm is the length of the second pair of sides.