The perimeter of a rectangle is 50 centimeters. the length of the rectangle is one more than 3 times the width of the rectangle. what are the dimensions of the rectangle

Let's let w = width of the triangle. Let's also write the length in terms of w:

Length = 3w+1

The perimeter of the rectangle is 2l+2w=P

2 (3w+1) + 2 (w) = 50 [base equation]

6w+2+2w=50 [distribute the 2]

8w+2=50 [combine like terms]

8w=48 [subtract 2 from both sides]

w=6 [divide 8 from both sides]

Therefore, the width is 6 cm.

3 (6) + 1 is the length = 19 cm