One side of the parallelogram is 13cm larger than the other, and the perimeter is 86cm. Find the sides of the parallelogram.

We will solve the problem using a linear equation.

To compose the equation, we will use the formula to find the perimeter of a parallelogram.

Let’s remember the formula for finding the perimeter of a parallelogram – it’s the same as for finding the perimeter of a rectangle.

P = 2 (a + b);

The condition says that one of the sides of the parallelogram is 13 cm larger than the other. Let’s denote by x cm the length of one of the sides, then (x + 13) cm the length of the second.

2 (x + x + 13) = 86;

2x + 13 = 86: 2;

2x + 13 = 43;

2x = 43 – 13;

2x = 30;

x = 15 cm, then 15 + 13 = 28 cm length of the second side.