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.

Answer 1

Let the width of the rectangle be x cm.
The length is then 3x + 3 cm.
The perimeter is given by the formula: P = 2(l + w)
Substituting the given values, we get 46 = 2((3x + 3) + x)
Simplifying the right side of the equation, we get 46 = 2(4x + 3)
Multiplying through the brackets, we get 46 = 8x + 6
Subtracting 6 from both sides, we get 40 = 8x
Dividing through by 8, we get x = 5 cm
The width of the rectangle is 5 cm, and the length is 3(5) + 3 = 18 cm. Answer: \boxed{5, 18}.