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? Responses A 15 feet x 21 feet15 feet x 21 feet B 16 feet x 20 feet16 feet x 20 feet C 20 feet x 30 feet20 feet x 30 feet D 25 feet x 35 feet25 feet x 35 feet E 35 feet x 45 feet
To find the actual dimensions of the deck, we need to convert the scale drawing measurements to actual measurements using the scale factor.
Given:
Scale drawing: 15 cm x 21 cm
Scale: 3 cm = 5 feet
First, calculate the scale factor:
Scale factor = Actual measurement / Measurement on scale drawing
Scale factor = 5 feet / 3 cm = 1.67 feet/cm
Now, use the scale factor to find the actual dimensions:
Actual length = 15 cm x 1.67 feet/cm = 25.05 feet ≈ 25 feet
Actual width = 21 cm x 1.67 feet/cm = 35.07 feet ≈ 35 feet
Therefore, the actual dimensions of the deck are 25 feet x 35 feet, which matches option D: 25 feet x 35 feet.
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
To find the actual dimensions of the pool, we first need to determine the scale factor.
Given:
Scale drawing: 2 inches x 3 inches
Scale: 0.25 inches = 3 feet
First, calculate the scale factor:
Scale factor = Actual measurement / Measurement on scale drawing
Scale factor = 3 feet / 0.25 inches = 12 feet per inch
Now, use the scale factor to find the actual dimensions:
Actual length = 3 inches x 12 feet/inch = 36 feet
Actual width = 2 inches x 12 feet/inch = 24 feet
Therefore, the actual dimensions of the pool are 36 feet x 24 feet, which matches option C: 36 feet x 24 feet.