A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The perimeter of each tile Mei uses is 20 units.
What is the length of any line on the graph?
The distance or length of any line on the graph,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance or the length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
The distance between two points on a graph is found using the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, the length between the following points can be found using the above formula.
- A(10, 6),
- B(13, 10),
- C(17,7) and
- D(14, 3)
The length fo the sides of the polygons are:
- [tex]AB=\sqrt{(13-10)^2+(10-6)^2} = 5[/tex]
- [tex]BC=\sqrt{(17-13)^2+(7-10)^2} = 5[/tex]
- [tex]CD=\sqrt{(14-17)^2+(3-7)^2} = 5[/tex]
- [tex]AD=\sqrt{(14-10)^2+(3-6)^2} = 5[/tex]
Now, the perimeter of the polygon can be written as,
[tex]\rm \text{Perimeter of the polygon} = 5+5+5+5 = 20\ units[/tex]
Hence, the perimeter of each tile Mei uses is 20 units.
Learn more about the Length of the line:
https://brainly.com/question/16904935
#SPJ2
