To find the original dimensions and area of the rectangle based on the given scale drawing, you can follow these steps:
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Calculate the original length:
- The length of the rectangle in the scale drawing is 12 units.
- Each unit represents 3.5 feet.
- Therefore, the original length is: \[ \text{Original length} = 12 \text{ units} \times 3.5 \text{ feet/unit} \] \[ \text{Original length} = 42 \text{ feet} \]
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Calculate the original width:
- The width of the rectangle in the scale drawing is 4 units.
- Therefore, the original width is: \[ \text{Original width} = 4 \text{ units} \times 3.5 \text{ feet/unit} \] \[ \text{Original width} = 14 \text{ feet} \]
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Calculate the original area:
- The area of a rectangle is calculated by multiplying the length by the width: \[ \text{Original area} = \text{Original length} \times \text{Original width} \] \[ \text{Original area} = 42 \text{ feet} \times 14 \text{ feet} \] \[ \text{Original area} = 588 \text{ square feet} \]
Therefore, the answers are:
- Original length = 42 feet
- Original width = 14 feet
- Original area = 588 square feet