How would the perimeter and area of a shape represented on a scale
drawing change if you made the scale twice as big (e.g., if a scale of
1 grid unit represents 1 m changed to 1 grid unit represents 2 m)?
If the scale of a drawing is changed to be twice as big, it means that each unit on the drawing will now represent a larger length in reality.
- The perimeter of the shape: The perimeter represents the sum of all the sides of the shape. If the scale is doubled, each side of the shape on the drawing will be longer. Therefore, when the scale is doubled, the perimeter of the shape on the drawing will also be doubled compared to the original drawing.
- The area of the shape: The area represents the space enclosed by the shape. When the scale is doubled, each side of the shape on the drawing is also doubled. Since area is calculated by multiplying the length and width, which are both increased by a factor of 2, the area of the shape on the drawing will be multiplied by a factor of 4 (2 * 2) compared to the original drawing.