Question 633611
Your answer is incorrect and your arithmetic is a little strange, to say the least!
w = the shorter side.
s = the longer side.
s = w+3
OK so far! Now:
P = 2(w+s) = 58 Substitute s = w+3 and P = 58.
58 = 2(w+(w+3)) Simplify.
58 = 2(2w+3) Divide both sides by 2.
29 = 2w+3 Subtract 3 from both sides.
26 = 2w Divide by 2.
13 = w and s = 13+3 = 16
Final answer = 16 and 13
Check:
P = 2(w+s) Substitute w = 13 and s = 16.
P = 2(13+16) Simplify.
P = 2(29) 
P = 58