Question

Периметр четырёхугольника АВСД равен 84 дм.Чему равна длина стороны АД, если АВ=15 дм, ВС=31 дм, ДС=16 дм?

Answer 1

84-(15+31+16)=22 AD-22

Answer 2

84дм-15дм-31дм-16дм=22дм

Answer 3

Perimeter of Quadrilateral ABCD

To find the length of side AD of quadrilateral ABCD, we need to use the formula for the perimeter of a quadrilateral. The perimeter of a quadrilateral is the sum of the lengths of all its sides.

Given that the perimeter of quadrilateral ABCD is 84 dm, and the lengths of sides AB, BC, and CD are 15 dm, 31 dm, and 16 dm respectively, we can find the length of side AD.

Let's calculate it step by step:

1. We know that the perimeter of a quadrilateral is the sum of the lengths of all its sides. So we can write the equation:

Perimeter (P) = AB + BC + CD + AD

2. Substituting the given values, we have:

84 dm = 15 dm + 31 dm + 16 dm + AD

3. Now, let's solve for AD:

AD = 84 dm - (15 dm + 31 dm + 16 dm)

AD = 84 dm - 62 dm

AD = 22 dm

Therefore, the length of side AD of quadrilateral ABCD is 22 dm.

Please note that the calculation is based on the given information and the assumption that the quadrilateral is a simple quadrilateral (not self-intersecting).