The scale on a floorplan indicates that 1 foot is equivalent to 1/4 of an inch. A room that measures 160 square feet is represented by how many square inches???
8 by 20
2 in by 5 in =
2 * 5 = 10 square inches
To find out how many square inches represent a room measuring 160 square feet, we need to convert the units using the given scale.
First, we convert the dimensions of the room from feet to inches using the scale of 1 foot = 1/4 inch. Since there are 12 inches in a foot, we have:
160 square feet * (12 inches/foot)^2 = 160 * 12^2 square inches
Next, we simplify the expression:
160 * 12^2 = 160 * 144 = 23,040 square inches
Therefore, a room measuring 160 square feet is represented by 23,040 square inches on the floorplan.
To determine the size of the room in square inches, we need to convert the given measurements from feet to inches according to the given scale. First, we'll convert the dimensions of the room from square feet to square inches.
Given:
Scale: 1 foot = 1/4 inch
To convert the length and width to inches, we multiply them by 12 to convert feet to inches:
Length = 12 inches × length in feet
Width = 12 inches × width in feet
Given that the room measures 160 square feet, we need to calculate the length and width of the room:
Area = Length × Width
160 square feet = Length × Width
Now, let's convert the measurements from feet to inches. Since 1 inch is equivalent to 1/4 of an inch on the floorplan, we multiply the length and width by this ratio:
Length = 12 inches × 1 foot = 12 inches
Width = 12 inches × 1 foot = 12 inches
Now we have the dimensions of the room in inches: Length = 12 inches and Width = 12 inches.
To find the area in square inches, we multiply the length and width:
Area = Length × Width
Area = 12 inches × 12 inches
Area = 144 square inches
Therefore, a room that measures 160 square feet is represented by 144 square inches on the floorplan.