bedroom 1.5ft/ 1 unit
unit dimensions: 10 units x 10 units
Calculate the actual dimensions: set up a proportion and cross multiply.
Perimeter and area
To calculate the actual dimensions, we will set up a proportion using the given information.
Let's assume the actual dimensions of the bedroom are x units by y units.
According to the given information, the bedroom is 1.5ft, which can be converted to units using the conversion factor 1ft = 0.1 units. Therefore, the width of the bedroom is 1.5ft * 0.1 units/ft = 0.15 units.
The unit dimensions are given as 10 units x 10 units.
Now, we can set up the proportion:
width of bedroom / width of unit = actual width / unit width
0.15 units / 10 units = x units / 10 units
Cross-multiplying, we get:
0.15 units * 10 units = x units * 10 units
1.5 units = 10x units²
Dividing both sides by 10:
0.15 units = x units²
Taking the square root of both sides:
0.39 units = x units
Similarly, the length of the bedroom can be calculated using a similar proportion. Assuming the length of the bedroom is y units, the proportion would be:
length of bedroom / length of unit = actual length / unit length
Since the unit length is also 10 units, we get:
y units / 10 units = actual length / 10 units
Simplifying and rearranging, we get:
y units = actual length
Therefore, the actual dimensions of the bedroom are approximately 0.39 units by y units.