If the perimeter of a rectangle is 38 cm and the area is 78 square cm, then what are the dimensions of the rectangle?

The length is 13 and the width is 6. The way I figured it out is: find two factors of the area (that if multiplied with each other, they equal the area) and see which ones add up and then get multiplied by two to find the perimeter. I found 6 and 13 and then added them together to get 19. Then I multiplied 19 by two and got 38. This is how I have always done it idk.

Your answer is length = 13 and width = 6.
hope this helps :)