Answer:
PS = 37
Step-by-step explanation:
The opposite sides of a rectangle are congruent, thus
perimeter = 2(3x + 1) + 2(4x - 3) = 136 ← distribute and simplify left side
6x + 2 + 8x - 6 = 136
14x - 4 = 136 ( add 4 to both sides )
14x = 140 ( divide both sides by 14 )
x = 10
Hence
PS = 4x - 3 = (4 × 10) - 3 = 40 - 3 = 37
