Question
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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)
theres a 3 by 3 by 2 by 2
Answers
GPT-4o mini
To convert the dimensions of the rectangle from a scale of 1 box = 15 feet to a scale of 1 box = 5 feet, we need to adjust the measurements accordingly.
First, let's determine how many feet the current measurement represents:
- The current width of the rectangle is 2 boxes. Given the scale of 1 box = 15 feet, the actual width in feet is:
\[
2 \text{ boxes} \times 15 \text{ feet/box} = 30 \text{ feet}
\]
Now, we need to convert this width into boxes using the new scale of 1 box = 5 feet. To find the width in boxes at the new scale, we divide the total feet by the new scale:
\[
\text{Width in boxes} = \frac{30 \text{ feet}}{5 \text{ feet/box}} = 6 \text{ boxes}
\]
Therefore, the width in boxes of the new scale drawing will be **6 boxes**.
First, let's determine how many feet the current measurement represents:
- The current width of the rectangle is 2 boxes. Given the scale of 1 box = 15 feet, the actual width in feet is:
\[
2 \text{ boxes} \times 15 \text{ feet/box} = 30 \text{ feet}
\]
Now, we need to convert this width into boxes using the new scale of 1 box = 5 feet. To find the width in boxes at the new scale, we divide the total feet by the new scale:
\[
\text{Width in boxes} = \frac{30 \text{ feet}}{5 \text{ feet/box}} = 6 \text{ boxes}
\]
Therefore, the width in boxes of the new scale drawing will be **6 boxes**.