Question

Sylvia graphed four equilateral polygon on a coordinate plane. The total number of sides and the coordinate for the endpoints of one side are given. For each polygon describes, determine whether its pereter is less than 20 units,equal to 20 units, or greater than 20 units.

Answer 1

Perimeter

We have that the perimeter of an equilateral polygon can be found with the length of one side and the number of sides:

perimeter = length x number of sides

This means that we want to find the measurement of each side.

First polygon

We locate the given points, and then find their distance, which is the length of one side of the polygon.

Since it has 6 sides and each measures 3 unities:

perimeter = length x number of sides

↓

perimeter = 3 x 6 = 18 units

Second polygon

Locating the points, and finding their distance:

Since it has 5 sides and each measures 4 unities:

perimeter = length x number of sides

↓

perimeter = 4 x 5 = 20 units

Third polygon