The expression 3 1/2x + 18 represents the perimeter of the rectangle shown. write an expression that represents the length of the rectangle.

a. 3 1/4x + 13
b. 1 1/2x + 8
c. 3x + 8
d. 1 1/2x + 4

D)   The Length of the rectangle is  

Step-by-step explanation:

Here, the width of the rectangle =

Let the length of the rectangle = L

Also, given the perimeter of the figure =

Now we know that, Perimeter of the Rectangle = 2(Length + Width)

or,  

Solving for L, we get :

Hence the length of the rectangle is , D)    

D)

Step-by-step explanation:

3 1/2=7/2

2(1/4x+5)+2y=7/2x+18

2/4x+10+2y=7/2x+18

1/2x+10+2y=7/2x+18

2y=7/2x+18-1/2x-10

2y=6/2x+18-10

2y=3x+8

y=3/2x+8/2

y=3/2x+4

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.