The lengths of the two sides of the parallelogram are 4: 7 and its perimeter is 110, find the larger

The lengths of the two sides of the parallelogram are 4: 7 and its perimeter is 110, find the larger side of the parallelogram.

From the condition, we know that the lengths of the two sides of the parallelogram are 4: 7, and its perimeter is 110. In order to find the larger side of the parallelogram, let’s first of all introduce the coefficient of similarity.

So, x is the coefficient of similarity, then the sides of the parallelogram can be written as 4x and 7x.

The perimeter of any geometric figure is the sum of the lengths of the sides of this figure.

So, let’s write down the perimeter of the parallelogram:

P = 2 (a + b);

2 (4x + 7x) = 110;

4x + 7x = 55;

11x = 55;

x = 5.

So, the coefficient of similarity is 5, then the length of the longer side is 7 * 5 = 35.