One side of the quadrangle is 48 cm, the second side is 14 cm larger than the first, and the third side is 2 times

| May 20, 2021 | education

One side of the quadrangle is 48 cm, the second side is 14 cm larger than the first, and the third side is 2 times less than the sum of the first two sides. Find the fourth side if the perimeter of the quadrangle is 200 cm.

We can calculate the unknown side of the quadrilateral by subtracting the sum of the lengths of the remaining sides from the perimeter. Let’s find all the other sides:

Second side:

14 + 48 = 62 cm.

Now let’s determine the length of the first two sides:

62 + 48 = 110 cm

Now let’s find the length of the third side:

110: 2 = 55 cm

Next, we find the sum of the three sides:

62 + 55 + 48 = 165 cm

Let’s define the fourth side. Subtract the length of the three sides from the perimeter:

200 – 165 = 35 cm

Answer: the length of the fourth side is 35 cm.



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