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

Skip to navigation

Answer 1

To determine the original dimensions and area of the rectangle from a scale drawing, we need to multiply the dimensions given in the drawing by the scale factor.

1. **Determine the original length:**
- Length in the drawing: 12 units
- Scale factor: 3.5 feet/unit
- Original length = Length in drawing × Scale factor
- Original length = 12 units × 3.5 feet/unit = 42 feet

2. **Determine the original width:**
- Width in the drawing: 4 units
- Scale factor: 3.5 feet/unit
- Original width = Width in drawing × Scale factor
- Original width = 4 units × 3.5 feet/unit = 14 feet

3. **Determine the original area:**
- Area = Length × Width
- Original area = Original length × Original width
- Original area = 42 feet × 14 feet = 588 square feet

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