The sides of the parallelogram are proportional to the numbers 3 and 7. Find the smaller side

| September 7, 2021 | education

The sides of the parallelogram are proportional to the numbers 3 and 7. Find the smaller side if the parallelogram pyrimeter is 18cm.

Let us denote by a the third of the length of that side of the given parallelogram, which is the smaller.

Then the length of this smaller side will be 3a

In the initial data for this task, it is reported that the lengths of this geometric figure are related to three to seven, therefore, the length of that side of this parallelogram, which is larger, should be equal to 7a cm.

It is also known that if you add up the lengths of all sides of a given geometric figure, the result will be 18 centimeters, therefore, we can draw up the following equation:

7a + 3a + 7a + 3a = 18,

solving which, we get:

20a = 18;

a = 18/20 = 0.9 cm.

We find the length of the shorter of the sides:

3a = 3 * 0.9 = 2.7 cm.

Answer: the correct answer is 2.7cm.



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