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?

9 cm by 12 cm
6 cm by 8 cm
8 cm by 9 cm
6 cm by 12 cm

6 cm by 8 cm

The circumference of a pond is 942 feet.A model boat is moving alot the pond, at a rate of 4 feet per second.How long does it take to get to the other side?

2345

6cmby12cm

It doesn’t work

To find the dimensions of the room on the blueprint, we can set up a proportion using the given information.

According to the problem, 2 centimeters on the blueprint is equal to 4 feet in the actual room. So, we can set up the following proportion:

2 cm / 4 ft = x cm / 12 ft

To find x, the number of centimeters corresponding to 12 feet in the actual room, we can cross multiply:

2 cm * 12 ft = 4 ft * x cm

24 cm = 4x cm

Dividing both sides by 4, we find:

6 cm = x cm

Therefore, the width of the additional room on the blueprint is 6 cm.

Following the same process for the length of the room:

2 cm / 4 ft = y cm / 16 ft

2 cm * 16 ft = 4 ft * y cm

32 cm = 4y cm

Dividing both sides by 4, we find:

8 cm = y cm

Therefore, the length of the additional room on the blueprint is 8 cm.

The dimensions on the blueprint are 6 cm by 8 cm.

Therefore, the correct answer is 6 cm by 8 cm.

12 ft *(2 cm/4 ft) = 6 cm

16 ft *(2 cm/4 ft) = 8 cm