Reduce the scale drawing so that it has a scale of 1 box=2 centimeters. Which shows the correct drawing?

1st box shows rectangle length 6 squares and width of 2squares
2. Still rectangular length 6 squares and 3 squares width
3. Rectangle 12 square length and 4 square width
4. Rectangle 12 square length and 2 square width
5. Rectangle 3 square length and 1 square width

1 answer

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.

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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.