The perimeter of a rectangular painting is 356 centimeters. if the length of the painting is 96 centimeters, what is its width.

P = 2 (l + w)

p = 356

l = 96

356 = 2 (96 + w)

356 = 192 + 2w

356 - 192 = 2w

164 = 2w

164/2 = w

82 = w

check ...

p = 2 (l + w)

356 = 2 (96 + 82)

356 = 2 (178)

356 = 356 (correct)

so the width (w) = 82 cm