The side of the parallelogram is proportional to the numbers 3 and 7. Find the smaller side if the perimeter

| August 22, 2021 | education

The side of the parallelogram is proportional to the numbers 3 and 7. Find the smaller side if the perimeter of the parallelogram is 18.

Let us denote the lengths of the sides of this parallelogram through x and y.

According to the condition of the problem, the lengths of the sides of this parallelogram are proportional to the numbers 3 and 7, therefore, the following relation holds:

x / y = 3/7.

It is also known that the perimeter of this parallelogram is 18, therefore, the following relationship holds:

2 * (x + y) = 18.

We solve the resulting system of equations.

Substituting into the second equation the value x = (3/7) * y from the first equation, we get:

2 * ((3/7) * y + y) = 18;

2 * (10/7) * y = 18;

(20/7) * y = 18;

y = 18 / (20/7);

y = 18 * (7/20);

y = 6.3.

Knowing y, we find x:

x = (3/7) * y = (3/7) * 6.3 = 2.7.

Answer: the length of the shorter side of this parallelogram is 2.7.



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