Preston drew a blueprint of an additional room he is planning to add to his house. On the blueprint, 2 centimeters is equal to 4 feet in the actual room. If Preston wants the room to measure 12 feet by 16 feet, what are these dimensions on the blueprint?

Answer 1

To find the dimensions of the room on the blueprint, we can set up a proportion:

2 cm = 4 ft

x cm = 12 ft

Cross multiplying, we get:

2 * 12 = 4 * x

24 = 4x

x = 6 cm

Therefore, on the blueprint, the length of the room would be 6 cm.

Following the same process for the width:

2 cm = 4 ft

y cm = 16 ft

2 * 16 = 4 * y

32 = 4y

y = 8 cm

Therefore, on the blueprint, the width of the room would be 8 cm.