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?
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.