Question

at another theater workers have to cut a new trap door.the door can be no mre than 130 sq ft in the area with whole number side lengths.they have to bring in 3 items to the stage.the first item is 6 feet,5 inches wide and 8 feet,9 inches long.the seconed item is 13 feet,4 inches wide and 7 feet, 8 inches long.the third item is 5 feet,6 inches wide and12 feet, 4 inches long. what size of trap door would you reccomend? what is the perimeter of the trap door

Answer 1

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhGiven:
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
P = 2(277)
P = 554 inches