Question

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?

Answer 1

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