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)

Answer 1

To convert the scale drawing from a scale of 1 box = 15 feet to a scale of 1 box = 5 feet, we need to determine how the dimensions of the rectangle change in terms of boxes.

First, let's find out how many feet the original rectangle's dimensions represent:

1. The original width of the rectangle is 2 boxes. With the scale of 1 box = 15 feet:
\[
\text{Width in feet} = 2 \text{ boxes} \times 15 \text{ feet/box} = 30 \text{ feet}
\]

2. Now, we convert this width into boxes using the new scale of 1 box = 5 feet:
\[
\text{Width in boxes (new scale)} = \frac{30 \text{ feet}}{5 \text{ feet/box}} = 6 \text{ boxes}
\]

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