Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 10 units long and 2 units wide, labeled with 10 and 2 respectively.
Scale factor: 1 box = 6 inches
Maisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 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)
Responses
1
1
20
20
5
5
12
12
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The length in the scale drawing shown is 10 boxes. To convert this to a scale factor of 1 box = 12 inches, we can use the proportion:
10 boxes / 6 inches = x boxes / 12 inches
To find x, we can cross multiply:
10 boxes * 12 inches = 6 inches * x boxes
120 inches = 6x
To solve for x, we divide both sides by 6:
20 inches = x
Therefore, the length of the boxes in the new drawing will be 20 inches.
The answer is 20.