The perimeter of the quadrangle ABCD is 84 dm. What is the side length, AD, if AB = 15 dm, BC = 31 dm, DC = 16 dm?

First you need to know that the perimeter is the sum of the lengths of all sides;

In this way,

P (ABXD) = AB + BC + CD + AD;

Then, to find AD, you need to subtract all known sides from the perimeter:

AD = P – AB – BC – CD = 84 – 15 – 31 -16 = 22 (dm) – AD side.

Answer: AD = 22 dm.



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