16. If $$ x=8 $$ and $$ y=5 $$, what is the perimeter of the quadrilateral? SHOW YOUR WORK!

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UpStudy AI · Accepted Answer

To find the perimeter of a quadrilateral, we need to know the lengths of all four sides. However, the problem only provides values for $$ x $$ and $$ y $$, which are typically used to represent the lengths of two sides of the quadrilateral.

Let's assume the quadrilateral has the following sides:
- Side 1: $$ x $$
- Side 2: $$ y $$
- Side 3: $$ x $$ (assuming the quadrilateral is symmetric)
- Side 4: $$ y $$ (assuming the quadrilateral is symmetric)

Given:
- $$ x = 8 $$
- $$ y = 5 $$

Now, we can calculate the perimeter $$ P $$ of the quadrilateral using the formula:

$$
P = \text{Side 1} + \text{Side 2} + \text{Side 3} + \text{Side 4}
$$

Substituting the values:

$$
P = x + y + x + y
$$

This simplifies to:

$$
P = 2x + 2y
$$

Now, substituting the values of $$ x $$ and $$ y $$:

$$
P = 2(8) + 2(5)
$$

Calculating each term:

$$
P = 16 + 10
$$

Finally, adding these together gives:

$$
P = 26
$$

Thus, the perimeter of the quadrilateral is $$ 26 $$.
The perimeter of the quadrilateral is 26.

16. If \( x=8 \) and \( y=5 \), what is the perimeter of the quadrilateral? SHOW YOUR WORK!

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