Question 573811
The perimeter of a rectangle is 148 ft.  The formula for perimeter of a rectangle is L + L + W + W = 2L + 2W = P


So we have our first equation:
2L + 2W = 148


L is 14ft more than W x 1.5 OR
L = 14 + 1.5W


What is L?


Let's use substitution from the second equation for L and use that in the first equation.
2L + 2W = 148
2(14 + 1.5W) + 2W = 148
Multiply out the parens
28 + 3W + 2W = 148
Combine terms:
28 + 5W = 148
Subtract 28 from each side:
5W = 120
Divide both sides by 5:
W = 24


Now we need to find the length L
L = 14 + 1.5 (W)
L = 14 + 1.5 (24)
L = 14 + 36
L = 50


Checking:
2(50) + 2(24) = 148?
100 + 48 = 148?
148 = 148  Correct!


Re-read the question so you give the answer in the form it's asked including the correct unit of measure.  :-)  Good luck!!