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(Image attached above)

x = 2, explanation below

area of rectangles and squares is l * h or h * l (h is height and l is length)

length of left rectangle/square is

4*(6x+6) and for the right quadrilateral, it is 4x*9

4x*9 is 36x

and we use the distributive property for 4*(6x+6)

4*6x+4*6

4*6x = 24x

4*6 = 24

24x+24

They have equal areas, so we can make an equation making their areas equal.

36x = 24x+24

Subtract 24x from both sides

12x=24

divide 12 by both sides

x = 2

Step-by-step explanation:

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