The length of a rectangle is 4 more than 3 times the width if the perimeter of the rectangle is 18.4 cm what is the area of the rectangle

Let's call the width: w

the lenght is then 3w+4 ("4 more than 3 times the width")

and the parameter would be 2 (w+3w+4), that is 2 * (4w+4), that is 8w+8.

this is also equal to 18.4:

8w+8=18.4

8w=10.4

w=1.3

this is the width, and the lenght is:

4+3*1,3=4+3.9=7.9

and the area is their product:

1.3*7.9=10.27