*the image shows a box with the dimensions of W=3 and H=2*

Question

scale: 1 box = 15 feet 
Convert this scale drawing so that it has a scale of 1 box = 5 feet.  The width in the scale drawing shown is 2 boxes. What will be the width in boxes of the new scale drawing?

GPT-4o mini · Answer

To convert the scale of the drawing, we first need to determine the actual dimensions of the box in feet using the original scale of 1 box = 15 feet.

Given the dimensions:

Width (W) = 3 boxes
Height (H) = 2 boxes

Using the original scale:

Width in feet = 3 boxes * 15 feet/box = 45 feet
Height in feet = 2 boxes * 15 feet/box = 30 feet

Now, we want to convert this to a new scale where 1 box = 5 feet.

To find out the width in boxes for the new scale:

Width in new scale (in boxes) = Width in feet / scale in feet per box
Width in new scale (in boxes) = 45 feet / 5 feet/box = 9 boxes

Therefore, the width in boxes of the new scale drawing will be 9 boxes.