# The sum of the lengths of all sides of the quadrangle is 66 dm. Find the length of each side knowing

August 28, 2021 | education

| **The sum of the lengths of all sides of the quadrangle is 66 dm. Find the length of each side knowing that these lengths are successively equal to numbers.**

Suppose the length of the smallest side of a given quadrilateral is x.

By the condition of the problem, the lengths of all sides are consecutive numbers, which means they will be equal:

x, x + 1, x + 2 and x + 3.

Then we can write the following equation:

x + x + 1 + x + 2 + x + 3 = 66,

4 * x + 6 = 66,

4 * x = 60,

x = 60: 4,

x = 15.

If the smaller side is 15, then the rest are respectively equal:

15 + 1 = 16 15 + 2 = 17 15 + 3 = 18.

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