Question 369171
P = 500 = 2l + 2w
w = l/2 - 32. 
 By direct substitution, 2l + 2(l/2 - 32) = 500.
2l + l-64 =500,
3l = 564,
l = 188 feet, the length of the rectangle.
w = 94 - 32 = 62 feet, the width of the rectangle.