[Math] Setting up word problem for finding length and width

factoringpolynomialsrational-functions

Word Problem: The length of a rectangular sign is $3$ feet longer than the width. If the sign has space for $54$ square feet of advertising, find its length and width.

I have not idea where to start. What is the formula to solve this?

Best Answer

The sides of the rectangle are $x$ (width) and $y$ (length). Now, write down:

  1. The equation that tells you that the sign is $3$ feet longer than it is wide.
  2. The equation that tells you that the area of the sign is $54$ square feet.

Put these equations either in your question via editing or in the comments under my answer, I will then help you further.