Shelley drew a scale drawing of the high school. She used the scale 5 millimeters : 3 meters. If the actual width of the parking lot is 42 meters, how wide is the parking lot in the drawing?
To determine the width of the parking lot in the drawing, we need to calculate the ratio between the actual width and the width in the drawing using the given scale.
First, we convert the actual width of the parking lot from meters to millimeters:
42 meters = 42 * 1000 millimeters = 42000 millimeters
Next, we use the scale of 5 millimeters : 3 meters:
5 millimeters = 3 meters
Therefore, to determine the width of the parking lot in the drawing, we can set up the following proportion:
5 millimeters / 3 meters = x millimeters / 42000 millimeters
Cross-multiplying, we get:
3 meters * x millimeters = 5 millimeters * 42000 millimeters
Simplifying, we have:
3x = 210000 millimeters
Dividing both sides by 3, we find:
x = 70000 millimeters
Therefore, the width of the parking lot in the drawing is 70000 millimeters.
Tim measured a house and made a scale drawing. In real life, the hall closet is 6 feet long. It is 10 inches long in the drawing. What is the scale of the drawing?
To determine the scale of the drawing, we need to calculate the ratio between the actual length and the length in the drawing.
Let's assume the scale of the drawing is in feet : inches.
We have:
6 feet = 10 inches
To convert feet to inches, we multiply by 12:
6 feet = 6 * 12 inches = 72 inches
Therefore, the scale of the drawing is:
72 inches : 10 inches, which can be simplified to:
36 inches : 5 inches
So, the scale of the drawing is 36 inches : 5 inches.
Wyatt made a scale drawing of a picnic area near the river. The picnic area, which is 84 yards long in real life, is 231 inches long in the drawing. What scale did Wyatt use?
To determine the scale used in Wyatt's scale drawing, we need to calculate the ratio between the actual length and the length in the drawing.
Given that the picnic area is 84 yards long in real life and 231 inches long in the drawing, we need to convert the length to the same unit.
1 yard = 36 inches
Therefore, the actual length of the picnic area in inches is:
84 yards * 36 inches per yard = 3024 inches
Now, we can set up a proportion to determine the scale used in the drawing:
3024 inches in real life : 231 inches in the drawing = x
Simplifying the proportion, we have:
3024 inches / 231 inches = x
Dividing both sides, we find:
x ≈ 13.10
Therefore, Wyatt used a scale of approximately 13.10 inches in the drawing for every inch in real life.