Question

Look at the scale drawing. The length is 12 units, the width is 4 units, and each unit represents 3.5 feet.



(3 points)
Determine the original rectangle dimensions and area. Do not round the numbers.

7th Grade Math Formula Sheet

Original length =
feet

Original width =
feet

Original area =
square feet

Answer 1

To determine the original dimensions and area of the rectangle from the scale drawing, we can use the conversion factor given (each unit represents 3.5 feet).

1. **Calculate the original length:**
\[
\text{Original length} = \text{length in units} \times \text{conversion factor}
\]
\[
\text{Original length} = 12 \, \text{units} \times 3.5 \, \text{feet/unit} = 42 \, \text{feet}
\]

2. **Calculate the original width:**
\[
\text{Original width} = \text{width in units} \times \text{conversion factor}
\]
\[
\text{Original width} = 4 \, \text{units} \times 3.5 \, \text{feet/unit} = 14 \, \text{feet}
\]

3. **Calculate the original area:**
\[
\text{Original area} = \text{Original length} \times \text{Original width}
\]
\[
\text{Original area} = 42 \, \text{feet} \times 14 \, \text{feet} = 588 \, \text{square feet}
\]

Therefore, the final results are:

- Original length = **42 feet**
- Original width = **14 feet**
- Original area = **588 square feet**