Question

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

Answer 1

Answer:the answer  is a

Step-by-step explanation:

Answer 2

Answer:

$1\frac{1}{2}x + 4$

Step-by-step explanation:

We are given the Perimeter: P = Perimeter$3\frac{1}{2}x + 18$    in decimal 3.5x+18

we know that a Perimeter is equal to all sides added up: S1+S2+S3+S4=P

we know that this is a rectangle so that means that it has 4 sides and two sides are the same and the other 2 are the same.

We are given the the height on the image

Height: H = $\frac{1}{4}x + 5$  in decimal 0.25x + 5

That height is one side so we know another of the sides is the same.

Perimeter is equal to all sides added up. So we have to subtract the sides to find out each ones measurements.

(Height x 2) + (Width x 2) = Perimeter

Therefore we know the height which is given on the image is 0.25x+5 so that times 2 = 0.5x+10    (height x 2)

so now we can subtract the heights from the perimeter.

  3.5x  +  18

-  0.5x  +  10

--------------------

  3x     +    8

So we got rid of both heights. Now we are left with our two lengths:

3x+8  = (length x 2)

To get the length of one side we divide that by 2 because there are 2 sides that have the same length and get 1.5x+4  in fractions that is:

  $1\frac{1}{2}x + 4$

I hope this helped you or anyone else that needs the answer :)