From the condition it is known that the perimeter of the parallelogram is 32, and the large side is 11. In order to find the smaller side, let’s compose and solve a linear equation.
Let us denote by the variable x the smaller side.
The perimeter of a parallelogram can be found using the same formula as the perimeter of a rectangle.
P = 2 (a + b);
Substitute the known values and solve the resulting equation.
2 (x + 11) = 32;
Divide both sides of the equation by 2:
x + 11 = 16;
x = 16 – 11;
x = 5 is the smaller side of the parallelogram.
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