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a picture is enlarged to poster size using a scale factor of 4. the dim…

Question

a picture is enlarged to poster size using a scale factor of 4.
the dimensions of the picture are 3 inches by 5 inches.

create a scale drawing of the poster on the grid.
starting at (0, 0), plot each vertex and end back at (0, 0).
the completed rectangle will be blue.

Explanation:

Step1: Calculate scaled dimensions

Original dimensions: 3 in (width) and 5 in (height). Scale factor = 4.
Scaled width: \( 3 \times 4 = 12 \) inches.
Scaled height: \( 5 \times 4 = 20 \) inches.

Step2: Plot vertices

Start at \((0,0)\).

  • Vertex 1: \((0,0)\) (start).
  • Vertex 2: \((12,0)\) (end of width, same height).
  • Vertex 3: \((12,20)\) (end of width and height).
  • Vertex 4: \((0,20)\) (start of width, end of height).
  • Return to \((0,0)\) to close the rectangle.

Answer:

Plot vertices at \((0,0)\), \((12,0)\), \((12,20)\), \((0,20)\), and back to \((0,0)\) on the grid. The rectangle will have width 12 units and height 20 units (matching the scaled dimensions).