The perimeter of a rectangle is 208 inches. The ratio of its length to its width is 5:3. What are the
dimensions of this rectangle?
A. 60 in by 44 in
B. 65 in by 39 in
C. 68 in by 36 in
D. 72 in by 32 in

The dimensions of this rectangle are 65 in by 39 in ⇒ B

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of a rectangle is 208 inches

∴ 208 = 2(length + width)

→ Divide both sides by 2

∴ 104 = length + width

∵ The ratio  of its length to its width is 5: 3

∴ The sum of the ratios = 5 + 3 = 8

→ By using the ratio method

→  length  :  width  :  length + width

→  5           :  3         :  8

→  x            :  y         :  104

→ By using cross multiplication

∵ x × 8 = 5 × 104

∴ 8x = 520

→ Divide both sides by 8

∴ x = 65

∵ y × 8 = 3 × 104

∴ 8y = 312

→ Divide both sides by 8

∴ y = 39

∵ x and y represents the length and the width of the rectangle

∴ The length = 65 inches

∴ The width = 39 inches

∴ The dimensions of this rectangle are 65 in by 39 in