To determine the original dimensions and area of the rectangle from the scale drawing, we need to convert the dimensions given (length and width) into feet using the scale provided.
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Length in units: 7 units
- Since each unit represents 0.25 feet: \[ \text{Original length} = 7 \text{ units} \times 0.25 \text{ feet/unit} = 1.75 \text{ feet} \]
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Width in units: 3 units
- Again, using the same scale: \[ \text{Original width} = 3 \text{ units} \times 0.25 \text{ feet/unit} = 0.75 \text{ feet} \]
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Area: To find the area of a rectangle, we use the formula: \[ \text{Area} = \text{Length} \times \text{Width} \] Plugging in the values: \[ \text{Original area} = 1.75 \text{ feet} \times 0.75 \text{ feet} = 1.3125 \text{ square feet} \]
So, the final answers are:
- Original length = 1.75 feet
- Original width = 0.75 feet
- Original area = 1.3125 square feet