Proportions & Scale Factors Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 55 of 5 Items

Question
Use the image to answer the question.

A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.

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?

(1 point)
$$

The original scale is 1 box = 15 feet, and the new scale is 1 box = 5 feet.

To convert from the original scale to the new scale, we need to divide the original scale factor by the new scale factor:

15 feet/box ÷ 5 feet/box = 3

So, the new scale factor is 3.

Since the original width is 2 boxes, the new width in boxes will be:

2 boxes × 3 = 6 boxes.

Therefore, the width in boxes of the new scale drawing will be 6 boxes.