To find the correct reduced scale drawing where 1 box represents 2 centimeters, we need to first determine the dimensions of the original drawing based on the boxes.
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For the first option, the rectangle has a length of 6 squares and a width of 2 squares.
- Length in centimeters: 6 squares × 2 cm/square = 12 cm
- Width in centimeters: 2 squares × 2 cm/square = 4 cm
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For the second option, the rectangle has a length of 6 squares and a width of 3 squares.
- Length in centimeters: 6 squares × 2 cm/square = 12 cm
- Width in centimeters: 3 squares × 2 cm/square = 6 cm
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For the third option, the rectangle has a length of 12 squares and a width of 4 squares.
- Length in centimeters: 12 squares × 2 cm/square = 24 cm
- Width in centimeters: 4 squares × 2 cm/square = 8 cm
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For the fourth option, the rectangle has a length of 12 squares and a width of 2 squares.
- Length in centimeters: 12 squares × 2 cm/square = 24 cm
- Width in centimeters: 2 squares × 2 cm/square = 4 cm
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For the fifth option, the rectangle has a length of 3 squares and a width of 1 square.
- Length in centimeters: 3 squares × 2 cm/square = 6 cm
- Width in centimeters: 1 square × 2 cm/square = 2 cm
Now, to reduce the scale to 1 box = 2 cm, we need to divide the original dimensions by 2:
- Original dimensions (12 cm x 4 cm):
- Length in boxes: 12 cm ÷ 2 cm/box = 6 boxes
- Width in boxes: 4 cm ÷ 2 cm/box = 2 boxes. (This corresponds to option 1)
Choosing the correct drawing, the only option that matches the dimensions (6 squares (length) x 2 squares (width)) is:
1st box: Rectangle length 6 squares and width of 2 squares.