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
(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
Answers
GPT-4o mini
To determine the original dimensions and area of the rectangle, utilize the information provided:
1. **Calculate the original length**:
- Scale drawing length = 12 units
- Each unit represents 3.5 feet.
- Original length = Scale drawing length × Length per unit
- Original length = 12 units × 3.5 feet/unit = 42 feet
2. **Calculate the original width**:
- Scale drawing width = 4 units
- Each unit represents 3.5 feet.
- Original width = Scale drawing width × Width per unit
- Original width = 4 units × 3.5 feet/unit = 14 feet
3. **Calculate the original area**:
- Area = Length × Width
- Area = 42 feet × 14 feet = 588 square feet
So the answers are:
- **Original length = 42 feet**
- **Original width = 14 feet**
- **Original area = 588 square feet**
1. **Calculate the original length**:
- Scale drawing length = 12 units
- Each unit represents 3.5 feet.
- Original length = Scale drawing length × Length per unit
- Original length = 12 units × 3.5 feet/unit = 42 feet
2. **Calculate the original width**:
- Scale drawing width = 4 units
- Each unit represents 3.5 feet.
- Original width = Scale drawing width × Width per unit
- Original width = 4 units × 3.5 feet/unit = 14 feet
3. **Calculate the original area**:
- Area = Length × Width
- Area = 42 feet × 14 feet = 588 square feet
So the answers are:
- **Original length = 42 feet**
- **Original width = 14 feet**
- **Original area = 588 square feet**