Question

preston drew a blueprint of an additional room he is planning to add to his house. on the blueprint, 1 centimeter is equal to 3 feet in the actual room. if preston wants the room to measure 9 feet by 12 feet, what are these dimensions on the blueprint?
a. 3 cm by 4 cm
b. 3 cm by 8 cm
c. 6 cm by 8 cm
d. 4 cm by 6 cm

Explanation:

Step1: Determine the scale factor

The scale is 1 cm = 3 feet, so to convert feet to cm, we divide by 3.

Step2: Convert the length (9 feet)

For the length of 9 feet: $9 \div 3 = 3$ cm.

Step3: Convert the width (12 feet)

For the width of 12 feet: $12 \div 3 = 4$ cm.
So the dimensions on the blueprint are 3 cm by 4 cm.

Answer:

A. 3 cm by 4 cm