28. The perimeter of a rectangle is 42 feet. The length of the
rectangle is 12 feet. What is the
width of the rectangle?
A 9 ft
B 12 ft
C 15 ft
D 30 ft

P=2(L+W)

42=2(12+W)

42=24+2w

2w=42-24

2w/2=18/2

w=9

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: