Expression in simplest form that represents the perimeter of a polygon that is 8cm 9x 8cm 9x

Hard to tell just what you meant, but just adding what you wrote (assuming all dimensions are in cm), then

p = 8 + 9x + 9 + 9x = 16+18x

...

Each runner is carrying an 8 ounce bottle of water, a 2.1 ounce energy bar,

and a 3 ounce energy drink. Write an expression in simplest form that
represents the weight carried by y runners. Interpret the expression.

To find the perimeter of the polygon, you can add up the lengths of all its sides. Therefore, the expression in simplest form that represents the perimeter of the given polygon is:

8 cm + 9x + 8 cm + 9x

This can also be simplified further by combining like terms:

16 cm + 18x

To find the perimeter of a polygon, you need to add up the lengths of all its sides.

In this case, you mentioned a polygon with sides of length 8cm and 9x. However, it's not clear what value "x" represents, so we'll need some additional information to determine the exact expression for the perimeter.

If "x" is a constant value, you can multiply it by 9 to get the length of the second side. In that case, the perimeter expression would be:
Perimeter = 8cm + 9x + 8cm + 9x = 16cm + 18x.

Alternatively, if "x" is a variable that represents the length of the second side relative to the first side (which is 8cm), we can write the expression as a ratio of lengths. For example, if the second side is x times longer than the first side, then the expression for the perimeter would be:
Perimeter = 8cm + (x * 8cm) + 8cm + (x * 8cm) = 16cm + 16x cm.

In either case, the expression for the perimeter would depend on the value of "x" or the relationship between the lengths of the sides.