If the scale had been 2/3 inch: 4 feet , how many inches longer would the scale drawing of Quinta's bedroom have been?
And how much longer is her bedroom?
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To find out how many inches longer the scale drawing of Quinta's bedroom would have been, we need to calculate the difference between the measurements using the given scale.
Given:
Scale: 2/3 inch : 4 feet
Step 1: Convert 4 feet to inches.
Since there are 12 inches in a foot, multiplying 4 feet by 12 gives us:
4 feet * 12 inches/foot = 48 inches.
Step 2: Calculate the length on the scale drawing.
Using the given scale, we can find the length on the scale drawing by multiplying the actual length by the scale factor. In this case, the scale factor is 2/3 inch : 4 feet.
Length on scale drawing = Actual length * Scale factor
Step 3: Calculate the difference.
To determine the difference in length between the scale drawing and the actual length, subtract the actual length from the length on the scale drawing.
Let's say the actual length of Quinta's bedroom is L inches.
Length on scale drawing = L * (2/3 inch : 4 feet)
Length on scale drawing = L * (2/3 inch : 48 inches) (since 4 feet = 48 inches)
Difference = Length on scale drawing - Actual length
Therefore, the number of inches longer the scale drawing of Quinta's bedroom would have been is (L * 2/3) - L = L/3.
In simplified form, the scale drawing would be L/3 inches longer than the actual length.