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Scale factor: 1box = 6inches
Maisie needs to convert this scale drawing from a scale factor of 1box = 6inches to a scale factor of 1box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?
(1 point)
O 12
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20
05
The length of the boxes in the new drawing will be 20 inches.
To find the length of the boxes in the new drawing, we first need to determine the length of the boxes in the original drawing.
Given that the scale factor of the original drawing is 1 box = 6 inches, and the length in the scale drawing is 10 boxes, we can calculate the length in inches by multiplying the number of boxes by the scale factor:
10 boxes * 6 inches/box = 60 inches
So, in the original drawing, the length is 60 inches.
Now, we need to convert this length to the new scale factor of 1 box = 12 inches.
To do this, we divide the original length by the original scale factor and then multiply by the new scale factor:
(60 inches / 6 inches/box) * 12 inches/box = 120 inches
Therefore, the length of the boxes in the new drawing will be 120 inches.
So, the correct answer is:
O 12
First, let's determine the current length in inches for the scale drawing.
Given:
Current scale factor: 1 box = 6 inches
Length in the scale drawing: 10 boxes
To find the current length in inches, we can multiply the current scale factor (1 box = 6 inches) by the number of boxes in the scale drawing (10 boxes):
Current length (in inches) = 10 boxes * 6 inches/box = 60 inches
Now, let's find the new length in inches for the updated scale drawing.
Given:
New scale factor: 1 box = 12 inches
To find the new length in inches, we can multiply the new scale factor (1 box = 12 inches) by the current length in inches (60 inches):
New length (in inches) = 60 inches * 12 inches/box = 720 inches
Therefore, the length of the boxes in the new drawing will be 720 inches.