A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple band that surrounds the orange square is 10 in. What is the area of the purple band?

Step-by-step explanation:

Width of the purple band that surrounds the orange square = 10 in.

Since the orange square is in the middle

From the diagram:

Therefore:

Area of the Purple Band =Area of Purple Rug -Area of Orange Square

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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