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The scale for this drawing is 1 box = 3 inches.

Reproduce the scale drawing of a tabletop so that it has a scale of 1 box = 2 inches. The length of the tabletop in this drawing is 10 boxes. What will be the length in boxes of the new scaled drawing?

A.
6

B.
15

C.
5

D.

1 answer

To find the length of the new scaled drawing in boxes, first, we need to determine the length of the tabletop in inches based on the original scale.

Given:

  • Original scale: 1 box = 3 inches
  • Length of the tabletop in the original drawing: 10 boxes

Now, calculate the length in inches: 10 boxes * 3 inches/box = 30 inches

Next, we need to apply the new scale, which is 1 box = 2 inches, to find out how many boxes correspond to the same length of 30 inches.

Using the new scale, we calculate the length in boxes: 30 inches รท 2 inches/box = 15 boxes

Thus, the length of the new scaled drawing in boxes will be 15.

The answer is B. 15.