The scale drawing of a swimming pool measures 2 inches by 3 inches. On the drawing .25 inches = 3 feet. What are the actual dimensions of the pool?
Responses
A 14 feet x 24 feet14 feet x 24 feet
B 18 feet x 24 feet18 feet x 24 feet
C 24 feet x 36 feet24 feet x 36 feet
D 30 feet x 40 feet30 feet x 40 feet
E 35 feet x 45 feet
C 24 feet x 36 feet
can you explain how?
Sure!
First, let's calculate the scale factor. On the drawing, .25 inches represents 3 feet. So, 1 inch represents 3 / .25 = 12 feet.
The drawing measures 2 inches by 3 inches, so using the scale factor, the actual dimensions of the pool would be 2 inches x 12 feet = 24 feet and 3 inches x 12 feet = 36 feet.
Therefore, the actual dimensions of the swimming pool are 24 feet x 36 feet.
The distance between two cities on a map is 7.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers. What is the actual distance between these two cities in kilometers?
Responses
A 2 km2 km
B 112.5 km112.5 km
C 500 km500 km
D 22.5 km
The actual distance between the two cities can be calculated by using the scale factor provided in the question.
On the map, 1 centimeter represents 15 kilometers. Therefore, to find the actual distance, we multiply the map distance by the scale factor:
7.5 cm x 15 km/cm = 112.5 km
Therefore, the actual distance between the two cities is 112.5 km.
The correct answer is: B) 112.5 km
A rectangular pool is 24 feet in length and 36 feet in width. A scale drawing of the pool has a length of 8 inches.
What is the perimeter, in inches, of the pool in the scale drawing?
Responses
A 40 inches40 inches
B 20 inches20 inches
C 120 inches120 inches
D 68 inches
To find the perimeter of the pool in the scale drawing, we need to calculate the perimeter of the pool in real life and then apply the scale factor.
Given:
- Actual length = 24 feet
- Actual width = 36 feet
- Scale length = 8 inches
First, calculate the actual perimeter of the pool:
Actual perimeter = 2(length + width)
= 2(24 + 36)
= 2(60)
= 120 feet
Since 1 inch represents 3 feet (using the given scale), you need to convert the actual perimeter to inches:
1 foot = 12 inches
So, the actual perimeter in inches = 120 feet x 12 = 1440 inches
Now, use the scale factor to find the perimeter on the scale drawing:
Scale factor = Actual length / Scale length = 24 feet / 8 inches = 3
Perimeter on the scale drawing = Actual perimeter in inches / Scale factor
= 1440 inches / 3
= 480 inches
Therefore, the perimeter, in inches, of the pool in the scale drawing is 480 inches.
The closest response based on available choices is not provided.