不 in the diagram be what is the relationship between the number of rectangles and the perimeter of the gure they kam? Represave this relationship using a table, words, an equation, and a graph Let the number of rectangles. Lety in perimeter of the figure Represent the relationship using a table. Complete the table below Number of Permeter , Ordered Rectangles, 1 y Pair (xy) 16 (116) 2 20 2.20 3 24 (324) (Simplify your answers) Represent the relationship using words Multiply the number of rectangles in each figure by to get the total length of the top and bottom sides of the combined figure. Then add 12 for the total length of the left and right sides of the combined figure to get the endre permeter Represent the relationship using an equation y= Simplify your answer. Type an expression using as the variable)
The relationship between the number of rectangles and the perimeter of the figure can be represented using a table as follows:
Number of Rectangles (x) | Perimeter (y)
---------------------------------------
1 | 16
2 | 20
3 | 24
To represent the relationship using words, we can say that the total perimeter of the figure is obtained by multiplying the number of rectangles by a certain factor, and then adding 12. The equation to represent this relationship is:
y = 4x + 12
In this equation, 'x' represents the number of rectangles and 'y' represents the perimeter.
To create a graph of this relationship, we can plot the points from the table on a coordinate plane and connect them to form a line. The graph would show that as the number of rectangles increases, the perimeter of the figure also increases.
To represent the relationship between the number of rectangles and the perimeter of the figure, we can use a table, words, an equation, and a graph.
Table:
Number of Rectangles (x) | Perimeter (y)
1 | 16
2 | 20
3 | 24
Words:
To find the perimeter, we multiply the number of rectangles in each figure by a certain value, and then add 12 for the total length of the left and right sides of the combined figure.
Equation:
Let's denote the number of rectangles as x and the perimeter as y. The equation representing the relationship is:
y = 4x + 12
Graph:
Please note that I cannot draw a graph, but you can plot the points from the table (x, y) and draw a line representing the equation y = 4x + 12 on a graph.
I hope this helps!
To determine the relationship between the number of rectangles and the perimeter of the figure, let's first complete the table:
Number of Rectangles (x) | Perimeter (y)
---------------------------------------
1 | 16
2 | 20
3 | 24
To represent the relationship using words, we can state that the total length of the top and bottom sides of the combined figure is obtained by multiplying the number of rectangles by a certain factor. Additionally, we add 12 for the total length of the left and right sides of the combined figure to obtain the entire perimeter.
To represent the relationship using an equation, we can let 'y' represent the perimeter and 'x' represent the number of rectangles. Based on the table, we can observe that the perimeter is determined by multiplying the number of rectangles by 4 (since rectangles have 4 sides) and adding 12. Therefore, the equation would be:
y = 4x + 12
To simplify this equation, we can combine like terms:
y = 4x + 12
Finally, to represent the relationship using a graph, we can plot points (x, y) from the table and connect them to create a line that represents the relationship between the number of rectangles and the perimeter.