# One side of the quadrangle is 48cm, the second is 14cm larger, the third is half the sum

August 27, 2021 | education

| **One side of the quadrangle is 48cm, the second is 14cm larger, the third is half the sum of the first two sides. Find the fourth one if the perimeter is 200m.**

First, we can calculate the length of the second side of the rectangle if, according to the problem statement, we know that it is 14 cm less than the other side:

48 – 14 = 34 cm.

We can also find the length of the third side if we know that it is 2 times less than the sum of these two sides:

48 + 34 = 82 cm,

82: 2 = 41 cm.

The perimeter of a rectangle is the sum of the lengths of all four of its sides. Since we know the perimeter of the rectangle and the lengths of the three sides, we can find the fourth side:

200 – 48 – 34 – 41 = 77 cm.

Answer: The length of the fourth side is 77 cm.

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