Start with determining the length’s equation, which is (L = 8w-3). Then, set up the equation for the perimeter which is length + length + width + width = 174, also know as 2w + 2L = 174
Then, plug in your L= equation into the perimeter equation then solve.
2w + 2(8w -3) = 174
This equation equals 10, so 10 is your width. Then, plug ten into your L= equation to find your length. The length turns out to be 77