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Question

A grid is shown with a rectangle drawn on it. The rectangle is 7 units long and 1 unit wide, labeled with 7 and 1 respectively.

Scale factor: 1 box = 6 meters

L’Quan needs to convert this scale drawing from a scale factor of 1 box = 6 meters to a scale factorof 1 box = 3 meters. The length in the scale drawing shown is 7 boxes. What will be the length in boxes of the new drawing?.

(1 point)

Answer 1

To find the new length in boxes when converting from a scale factor of 1 box = 6 meters to a scale factor of 1 box = 3 meters, we first need to calculate the actual length of the rectangle in meters.

The length of the rectangle is given as 7 boxes in the current scale (1 box = 6 meters):

• Actual length = 7 boxes × 6 meters/box = 42 meters.

Now, we want to convert this length into boxes for the new scale (1 box = 3 meters):

• New length in boxes = Actual length / 3 meters/box = 42 meters / 3 meters/box = 14 boxes.

Thus, the length in boxes of the new drawing will be 14 boxes.