In a rectangular room 10 feet wide 40 feet long and 50 feet high there are four Windows each 30 inch by 48 inches what is the ratio of Windows Surface 2 floor area in this room?

area of the 4 windows

= 4(30/12)(48/12) = 40 ft^2

area of floor = 10(40) = 400 ft^2
(where does the ridiculous height of 50 ft come in ?)

ratio of window area : floor area = 40:400
= 1:10

To find the ratio of the windows' surface area to the floor area in the room, we need to calculate the surface area of the windows and the floor separately.

1. Surface area of each window:
The width of each window is 30 inches, and the height is 48 inches. To find the surface area, we multiply the width and height:
Surface area of one window = 30 inches * 48 inches = 1440 square inches.

Since there are four windows, the total surface area of the windows is:
Total windows surface area = 4 * 1440 square inches = 5760 square inches.

2. Floor area of the room:
The width of the room is 10 feet and the length is 40 feet. To find the area, we multiply the width and length:
Floor area of the room = 10 feet * 40 feet = 400 square feet.

Now, we need to convert the area of the floor to square inches to match the unit of the window surface area:
Floor area of the room (in square inches) = 400 square feet * 12 inches * 12 inches = 57600 square inches.

Finally, we can calculate the ratio of the windows' surface area to the floor area:
Ratio = Total windows surface area / Floor area of the room
Ratio = 5760 square inches / 57600 square inches
Ratio = 0.1

Therefore, the ratio of the windows' surface area to the floor area in this room is 0.1.

To find the ratio of the window surface area to the floor area in the room, we need to calculate both values.

To find the total window surface area, we first need to calculate the area of each window and then multiply it by the number of windows.

Area of one window = Length × Width = (30 inches × 48 inches) = 1,440 square inches.

Since there are four windows, the total window surface area = (1,440 square inches) × 4 = 5,760 square inches.

Next, we calculate the floor area of the room. The floor area of a rectangular room can be found by multiplying the length by the width.

Floor area = Length × Width = (40 feet × 10 feet) = 400 square feet.

Now we need to convert the floor area from square feet to square inches to match the unit of window surface area.

To convert square feet to square inches, we multiply by the conversion factor of 144 square inches per square foot.

Floor area = (400 square feet) × (144 square inches/square foot) = 57,600 square inches.

Finally, we can calculate the ratio of the window surface area to the floor area by dividing the window surface area by the floor area.

Window surface area / Floor area = (5,760 square inches) / (57,600 square inches) = 0.1.

Therefore, the ratio of the window surface area to the floor area in the room is 0.1.