At a local theater the trap door has an area of 84 square feet, and a has a whole number length and side measure. A co cert grand piano needed for a performance has a length of 8 feet, 10 inches and a width of 5 feet, 2 inches. what is the length and the width of the trap door? what is the perimeter of the trap door?

i. The length of the trap door is 12 feet, and its width is 7 feet.

ii. The perimeter of the trap door is 38 feet.

Step-by-step explanation:

The area of the trap door = 84 square feet. But the dimension of the grand piano = by .

For the piano to pass through the door conveniently, the width of the door should be wider than that of the piano. And its length the same. Given that the length and side measure of the door has to be a whole number, then;

The width of the door would be 7 feet, so that:

Area of the door = length × width

                   84 = l × 7

   ⇒              l = 12

The length of the trap door is 12 feet, and its width is 7 feet.

2. Since the traap door has a shape of a rectangle, thus:

   perimeter of the trap door = 2 (length + width)

                                                       = 2 (12 + 7)

                                                      = 38 feet

The perimeter of the trap door is 38 feet.

what does x eaqual

step-by-step explanation:

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.