Jenna wants to make a park bench as part of her family's miniature railroad train display. If the display is built to scale where 2 cm = 1 ft, and Jenna is modeling her bench after a bench with a length of 5 ft, what will the length of Jenna's model be?
A.
3 cm
B.
10 cm
C.
7 cm
D.
24 cm
If 2 cm = 1 ft, then 1 cm = 1/2 ft. So to find the length of Jenna's model bench, we can multiply 5 ft by 2 (since each 1 ft in real life corresponds to 2 cm in the model display) and get:
5 ft x 2 = 10 cm
Therefore, the length of Jenna's model bench will be 10 cm, which is answer choice B.
For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 2 meters.
If the pyramid is 140 meters tall, how tall will her model pyramid be?
A.
70 centimeters
B.
280 centimeters
C.
140 meters
D.
70 meters
If 1 cm = 2 meters, then we can find the height of the model pyramid by dividing the actual height of the pyramid by 2 (to get the height in meters) and then multiplying by 100 (to convert it to centimeters). So:
140 meters รท 2 = 70 meters
70 meters x 100 = 7000 centimeters
Therefore, the height of Sarah's model pyramid will be 7000 centimeters, which is answer choice B.
A footbridge is being built across the river that will connect points A and B. If the length of each box represents 2 yards, approximately what will the length of the footbridge be?
A.
3 yards
B.
2 yards
C.
1 yard
D.
4 yards
We cannot answer this question without additional information or context. The length of each box representing 2 yards does not provide enough information to determine the length of the footbridge.
The Tee Ridder Miniature Museum has miniatures where 1 inch = 5 feet. If their model of a historical bedroom has a width of 20 inches, what is the width of the actual bedroom?
A.
60 feet
B.
17 feet
C.
100 feet
D.
4 feet
If 1 inch represents 5 feet, then we can find the width of the actual bedroom by multiplying the width of the model in inches by 5. So:
20 inches x 5 feet/inch = 100 feet
Therefore, the width of the actual bedroom is 100 feet, which is answer choice C.
The scale of figure A to figure B is 1 to 2. If the area of figure A is 5 ft2, what is the area of figure B?
A.
10 ft2
B.
20 ft2
C.
25 ft2
D.
2.5 ft2
If the scale of figure A to figure B is 1 to 2, then the dimensions of figure B will be twice that of figure A. This means that the area of figure B will be four times (2 x 2) that of figure A.
So if the area of figure A is 5 ft^2, then the area of figure B will be:
4 x 5 ft^2 = 20 ft^2
Therefore, the area of figure B is 20 ft^2, which is answer choice B.
The map above is a road map of Learner County. Each centimeter on the map represents 20 miles. About how far is a roundtrip ride from Heathville to Mt. Samerone, and back to Heathville on the road shown in blue?
A.
160 miles
B.
280 miles
C.
240 miles
D.
200 miles