A window in Lynn and Jorge's house needs to be replaced. The rectangular window is 3 feet 2 inches tall and 2 feet 7 inches wide. Change each of the measurements to inches.
(a) Find the perimeter of the window in inches.
(b) If the perimeter needs to be sealed with insulation that is $0.50 per inch, how much will it cost to insulate the perimeter?
To convert each of the measurements to inches, we need to multiply each measurement by 12 (since there are 12 inches in 1 foot).
(a) The height of the window is 3 feet 2 inches, which is equivalent to 3 * 12 + 2 = 38 inches.
The width of the window is 2 feet 7 inches, which is equivalent to 2 * 12 + 7 = 31 inches.
To find the perimeter of the window, we add up all the sides: P = 2 * (height + width) = 2 * (38 + 31) = 2 * 69 = 138 inches.
(b) To find the cost of insulating the perimeter, we multiply the perimeter by the cost per inch: Cost = 138 * 0.50 = $<<138*0.50=69>>69. Answer: \boxed{69}.