The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters find the dimensions of the rectangle

Let the width is x

and the length is 3 + 3x

and the perimeter is 2 (l+w) = 2 (x+3+3x) = 46

solve for x:

2 (4x+3) = 46

4x+3=11.5

4x=8.5

x=2.125

the width is 2.125 cm and the length is 9.375 cm