A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches . What is the scale of inches in the drawing to inches in the actual room
Idk….
To find the scale of inches in the drawing to inches in the actual room, we can use the following formula:
Scale = Actual length in inches / Length in the drawing in inches
First, let's calculate the actual length in inches. Since the room is 15 feet long and there are 12 inches in a foot, the actual length in inches is 15 * 12 = 180 inches.
Next, let's use the formula to find the scale:
Scale = 180 inches / 10 inches = 18
Therefore, the scale of inches in the drawing to inches in the actual room is 18.
To find the scale of inches in the drawing to inches in the actual room, we need to compare the corresponding measurements in both.
In this case, the length of the room is 15 feet (or 180 inches) and the length of the drawing is 10 inches. Similarly, the width of the room is 12 feet (or 144 inches) and the width of the drawing is 8 inches.
Now, let's find the scale for the length:
Scale for length = Length of drawing / Length of room
Scale for length = 10 inches / 180 inches
Simplifying the scale, we get:
Scale for length = 1/18
Similarly, let's find the scale for the width:
Scale for width = Width of drawing / Width of room
Scale for width = 8 inches / 144 inches
Simplifying the scale, we get:
Scale for width = 1/18
Therefore, the scale of inches in the drawing to inches in the actual room is 1/18.
width of room = 12 ft = 144 inches
width in drawing = 8 inches
drawing : real = 8 inches : 144 inches
= 1 : 18