the length of a certain rectangle is 5cm more than 3 times its width. if the perimeter of the rectangle is 74 what is the length and width

The perimeter of a rectangle is the sum of all four sides of the rectangle.

(Perimeter = 2width + 2length)

Let's assume the width of the rectangle to be x.

For length, the statement says that is equals to 3 times the width ( = 3x) and 5cm more meaning 5cm would be added to 3 times the width.

Width = x

Length = 3x + 5

Perimeter = 2x + 2 (3x+5)

74 = 2x + (6x+10)

74 = 8x + 10

solve for x

8x = 74 - 10

x = 64/8, x=8

Width = 8

length = 3 (8) + 5 = 29