Diana made a scale drawing of a campground. The scale she used was 2 inches : 1 yard. The picnic area is 128 inches wide in the drawing. How wide is the actual picnic area? yards
Question
Diana made a scale drawing of a campground. The scale she used was 2 inches : 1 yard. The picnic area is 128 inches wide in the drawing. How wide is the actual picnic area? yards
Solution
To solve this problem, we need to set up a proportion using the scale Diana used and the width of the picnic area in the drawing.
The scale is 2 inches (on the drawing) : 1 yard (actual).
We know that the picnic area is 128 inches wide on the drawing. We want to find out the actual width in yards.
So, we set up the proportion like this:
2 inches (drawing) : 1 yard (actual) = 128 inches (drawing) : X yards (actual)
To solve for X, we cross-multiply:
2 inches * X yards = 1 yard * 128 inches
This simplifies to:
2X = 128
Then, we divide both sides by 2 to solve for X:
X = 128 / 2
X = 64
So, the actual width of the picnic area is 64 yards.
Similar Questions
Jen made a scale drawing of a county park. The scale of the drawing was 13 inches : 6 yards. The picnic area is 42 yards wide in real life. How wide is the picnic area in the drawing? inches
Amelia drew a scale drawing of a campsite. She used the scale 9 inches : 4 feet. The tent is 8 feet wide in real life. How wide is the tent in the drawing? inches
Lee made a scale drawing of a city. The scale of the drawing was 1 inch : 8 yards. The actual length of a neighborhood park is 96 yards. How long is the park in the drawing? inches
Alvin made a scale drawing of a house and its lot. The scale he used was 13 millimeters : 6 meters. The actual width of the lawn in the backyard is 18 meters. How wide is the lawn in the drawing?
Beth drew a scale drawing of a house. She used the scale 8 millimeters : 3 meters. The actual width of the garage is 9 meters. How wide is the garage in the drawing? millimeters
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.