Answer:
Dimensions : 37.5 * 12.5
length : 37.5
width : 12.5
Step-by-step explanation:
let x = length and y = width
x = 3y based on info from problem
Perimeter = 2(length + width)
100 = 2(x + y)
substitute 3y for x
100 = 2(3y + y)
100 = 2(4y)
100 = 8y
y = 12.5
x = 3(12.5) = 37.5
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
