At another theater, workers have to cut a new trap door. The door can be no more thn 130 square feet in area, with whole-numbers side lenghts. They have to bring in three items to the stage. The first item is six feet, 5 inches wide and 8 feet, nine inches long. The second item is 13 feet, 4 inches wide, and 7 feet, 8 inches long. The third item is 5 feet, 6 inches wide and 12 feet, 4 inches long. What size of trap door would you recommend? What is the perimeter of your trap door?

Given:

trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long

⇒ (6ft * 12 in) + 5 in & (8ft * 12 in) + 9 in

⇒ 77inches by 105 inches

⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long

⇒ (13ft * 12in) + 4 in & (7ft * 12in) + 8 in

⇒ 160 inches by 92 inches

⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long

⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in

⇒ 66 inches by 148 inches

⇒ 9,768 square inches

130 square feet convert to square inches.

130 sq. ft * 144 sq. in/sq. ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches; Width = 117 inches

Perimeter = 2 (160 + 117)

P = 2 (277)

P = 554 inches