Question

The length of a rectangle is three times it's width. The perimeter of the rectangle is 100 inches. What are the dimensions of the rectangle and what is the length and width

Answer 1

Dimensions : 37.5 * 12.5

length : 37.5

width : 12.5

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 2

Answer: length = 37.5 inches

Width = 12.5 inches

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