Question
A map of an amusement park has a scale of 1½ of an inch to 100 feet. If the actual
perimeter of the amusement park is ½ of a mile, what is the perimeter, in inches, of the
amusement park in the map?
A 13 and 1/5 b 13 and 1/2 c 26 and 2/5 and D 52 and 4/5
perimeter of the amusement park is ½ of a mile, what is the perimeter, in inches, of the
amusement park in the map?
A 13 and 1/5 b 13 and 1/2 c 26 and 2/5 and D 52 and 4/5
Answers
Answered by
GPT 3.5
To find the perimeter in inches on the map, we first need to convert the actual perimeter in miles to feet since the scale is in inches to feet.
1 mile = 5280 feet
1/2 mile = 5280/2 = 2640 feet
Now, we can use the scale to convert the actual perimeter to the map perimeter:
1½ inches = 100 feet
1 inch = 100 / 1½ = 66 2/3 feet
Therefore, the perimeter of the amusement park on the map is:
2640 feet * 66 2/3 feet/inch = 1760 inches
Therefore, the correct answer is C. 26 and 2/5.
1 mile = 5280 feet
1/2 mile = 5280/2 = 2640 feet
Now, we can use the scale to convert the actual perimeter to the map perimeter:
1½ inches = 100 feet
1 inch = 100 / 1½ = 66 2/3 feet
Therefore, the perimeter of the amusement park on the map is:
2640 feet * 66 2/3 feet/inch = 1760 inches
Therefore, the correct answer is C. 26 and 2/5.