Answer: length = 37.5 inches
Width = 12.5 inches
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the rectangle is 100 inches. This means that
100 = 2(L + W)
Dividing through by 2, it becomes
50 = L + W- - - - - - - - - - - -1
The length of a rectangle is three times its width. This means that
L = 3W
Substituting L = 3W into equation 1, it becomes
50 = 3W + W
4W = 50
W = 50/4 = 12.5
L = 3W = 3 × 12.5
L = 37.5
