The length of a rectangle is one more than three times its width. its perimeter is 50 inches. find its dimensions (length and width).

P = 2 (L + W) < = = this is perimeter of rectangle formula

P = 50 ... perimeter = 50

L = 3W + 1 ... length is 1 more then 3 times its width

now we sub

50 = 2 (3W + 1 + W) ... simplify

50 = 2 (4W + 1) ... distribute thru the parenthesis

50 = 8W + 2 ... subtract 2 from both sides

50 - 2 = 8W

48 = 8W ... divide both sides by 8

48/8 = W

6 = W < = = = width is 6 inches

L = 3W + 1

L = 3 (6) + 1

L = 18 + 1

L = 19 < = = = length is 19 inches