New width = w + 3, new length = 2w - 2.
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- Total distance = 300 km + 187.5 km = 487.5 km.
- #### 487.5
- A rectangle has a length that is twice its width. If the width is increased by 3 units and the length is decreased by 2 units, the area becomes 24 square units. What were the original dimensions?
- Area = (w + 3)(2w - 2) = 24.
- Expanding: 2w^2 - 2w + 6w - 6 = 24 â 2w^2 + 4w - 30 = 0.
- Solving: w^2 + 2w - 15 = 0 â (w + 5)(w - 3) = 0 â w = 3 (since width cannot be negative).
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