Jake measured a hotel and made a scale drawing. The scale of the drawing was 8 inches : 7 feet. If the actual length of a room in the hotel is 21 feet, how long is the room in the drawing?
Using the scale of the drawing, 8 inches represents 7 feet.
To find the length of the room in the drawing, we can set up a proportion:
8 inches / 7 feet = x inches / 21 feet.
Cross multiplying, we get 8 inches * 21 feet = 7 feet * x inches.
This simplifies to 168 inches = 7x inches.
Dividing both sides by 7, we find x = 24 inches.
Therefore, the length of the room in the drawing is 24 inches.
Jen drew a scale drawing of a summer camp. The scale she used was 2 centimeters : 3 meters. In the drawing, the sand volleyball court is 6 centimeters wide. What is the width of the actual volleyball court?
Using the scale of the drawing, 2 centimeters represents 3 meters.
To find the width of the actual volleyball court, we can set up a proportion:
2 centimeters / 3 meters = 6 centimeters / x meters.
Cross multiplying, we get 2 centimeters * x meters = 6 centimeters * 3 meters.
This simplifies to 2x = 18.
Dividing by 2, we find x = 9.
Therefore, the width of the actual volleyball court is 9 meters.
Malik made a scale drawing of an apartment. The scale of the drawing was 5 millimeters : 3 meters. If the living room is 15 millimeters long in the drawing, how long is the actual living room?
Using the scale of the drawing, 5 millimeters represents 3 meters.
To find the length of the actual living room, we can set up a proportion:
5 millimeters / 3 meters = 15 millimeters / x meters.
Cross multiplying, we get 5 millimeters * x meters = 15 millimeters * 3 meters.
This simplifies to 5x = 45.
Dividing by 5, we find x = 9.
Therefore, the length of the actual living room is 9 meters.