The length of a rectangle is 9.7 cm more than 4 times the width. If the perimeter of the rectangle is 91.4 cm, what are its dimensions?

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width (w) : w

Length (L) : 4w + 9.7

Perimeter = 2L + 2w

91.4 = 2 (4w + 9.7) + 2 (w)

91.4 = 8w + 19.4 + 2w

91.4 = 10w + 19.4

72.0 = 10w

7.20 = w

Length (L) : 4w + 9.7 = 4 (7.2) + 9.7 = 28.8 + 9.7 = 38.5

Answer: width = 7.2 cm, Length = 38.5 cm