Question
Look at the scale drawing. The length is 7 units, the width is 3 units, and each unit represents 0.25 feet.
(3 points)
Determine the original rectangle dimensions and area. Do not round the numbers.
Original length =
feet
Original width =
feet
Original area =
square feet
(3 points)
Determine the original rectangle dimensions and area. Do not round the numbers.
Original length =
feet
Original width =
feet
Original area =
square feet
Answers
GPT-4o mini
To determine the original rectangle dimensions and area based on the scale drawing, we can use the information that each unit represents 0.25 feet.
1. **Calculate the original length:**
\[
\text{Original Length} = \text{Length in units} \times \text{Scale} = 7 \text{ units} \times 0.25 \text{ feet/unit} = 1.75 \text{ feet}
\]
2. **Calculate the original width:**
\[
\text{Original Width} = \text{Width in units} \times \text{Scale} = 3 \text{ units} \times 0.25 \text{ feet/unit} = 0.75 \text{ feet}
\]
3. **Calculate the original area:**
\[
\text{Original Area} = \text{Original Length} \times \text{Original Width} = 1.75 \text{ feet} \times 0.75 \text{ feet} = 1.3125 \text{ square feet}
\]
Thus, the final answers are:
- Original length = **1.75 feet**
- Original width = **0.75 feet**
- Original area = **1.3125 square feet**
1. **Calculate the original length:**
\[
\text{Original Length} = \text{Length in units} \times \text{Scale} = 7 \text{ units} \times 0.25 \text{ feet/unit} = 1.75 \text{ feet}
\]
2. **Calculate the original width:**
\[
\text{Original Width} = \text{Width in units} \times \text{Scale} = 3 \text{ units} \times 0.25 \text{ feet/unit} = 0.75 \text{ feet}
\]
3. **Calculate the original area:**
\[
\text{Original Area} = \text{Original Length} \times \text{Original Width} = 1.75 \text{ feet} \times 0.75 \text{ feet} = 1.3125 \text{ square feet}
\]
Thus, the final answers are:
- Original length = **1.75 feet**
- Original width = **0.75 feet**
- Original area = **1.3125 square feet**