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Scale: 1box = 4 inches

Ana Maria needs to convert this scale drawing from a scale of 1box = 4 inches to a scale of 1hnx = 2 inches. The width in the scale drawing shown is 3 boxes. What will be the width in boxes of the new drawing?

(1 point)

1 answer

To convert the scale from 1 box = 4 inches to 1 hnx = 2 inches, we need to determine the conversion factor between boxes and hnx.

Since 1 box is equal to 4 inches, and 1 hnx is equal to 2 inches, the conversion factor can be calculated as:

1 box / 4 inches = x hnx / 2 inches

Cross multiplying the terms:

2 inches * 1 box = 4 inches * x hnx

2 boxes = 4 inches * x hnx

To solve for x:

x hnx = 2 boxes / 4 inches

x hnx = 1/2

Therefore, the conversion factor from boxes to hnx is 1/2.

Now, we need to find the width in boxes of the new drawing. The width in the scale drawing shown is 3 boxes. To convert this width to the new scale, we can multiply by the conversion factor:

Width in hnx = Width in boxes * Conversion factor

Width in hnx = 3 boxes * 1/2

Width in hnx = 1.5 boxes

Therefore, the width in boxes of the new drawing will be 1.5 boxes.