The scale on a map shows that 5 centimeters = 2 kilometers.
What is the area, in square kilometers, of a rectangular section of the map that measures 35 centimeters by 15 centimeters?
Responses
A 8484
B 7272
C 4949
D 525
To calculate the area of the rectangular section of the map, first convert the dimensions from centimeters to kilometers using the scale given:
35 cm x (2 km / 5 cm) = 35 x 2 / 5 = 14 km
15 cm x (2 km / 15 cm) = 15 x 2 / 5 = 6 km
Now, calculate the area of the rectangular section:
Area = length x width = 14 km x 6 km = 84 square km
Therefore, the area of the rectangular section of the map is 84 square kilometers.
The closest answer choice is D) 84.
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?
First, we need to determine the scale factor based on the length of the actual pool and the length of the scale drawing:
Scale factor = Actual length / Length in scale drawing
Scale factor = 24 feet / 8 inches = 3
Now, we can determine the width of the pool in the scale drawing:
Width in scale drawing = Actual width / Scale factor
Width in scale drawing = 36 feet / 3 = 12 inches
Now, we can calculate the perimeter of the pool in the scale drawing:
Perimeter = 2(Length + Width)
Perimeter = 2(8 + 12) = 2(20) = 40 inches
Therefore, the perimeter of the pool in the scale drawing is 40 inches.
The scale drawing of a deck that Mr. Ford is building measures 15 cm by 21 cm. Each 3 cm on the scale drawing equals 5 feet. What are the actual dimensions of the deck?
To find the actual dimensions of the deck, we first need to determine the scale factor based on the scale drawing and the actual measurements.
The scale factor can be found by noting that each 3 cm on the scale drawing represents a length of 5 feet in reality. Therefore, the scale factor is:
3 cm (scale drawing length) = 5 feet
1 cm (scale drawing length) = 5/3 feet
1 cm (scale drawing length) = 1.67 feet
Now we can calculate the actual dimensions of the deck based on the scale drawing:
Length of deck in reality = 15 cm (scale drawing length) * 1.67 feet (actual length per cm)
Length of deck in reality = 25.05 feet
Width of deck in reality = 21 cm (scale drawing width) * 1.67 feet (actual width per cm)
Width of deck in reality = 35.07 feet
Therefore, the actual dimensions of the deck are 25.05 feet by 35.07 feet.