The length of a rectangle is 9.7 cm more than 4 times the width. Of the perimeter of the rectangle is 91.4 cm, what are it’s dimensions?

2 answers

2(w + w+9.7) = 91.4
Now finish it off
The length of a rectangle is 9.7 cm more than 4 times the width means:

L = 4 W + 9.7

P = 2 ( W + L ) = 91.4

2 ( W + 4 W + 9.7 ) = 91.4

2 ( 5 W + 9.7 ) = 91.4

10 W + 19.4 = 91.4

10 W = 91.4 - 19.4 = 72

W = 72 / 10 = 7.2 cm

L = 4 W + 9.7 = 4 • 7.2 + 9.7 =

28.8 + 9.7 = 38.5 cm

P = 2 ( W + L ) = 2 ( 7.2 + 38.5 ) =

P = 2 • 45.7 = 91.4 cm