Question

a movie poster was shrunk using a scale factor of 0.25 so it can be used to advertise in different ways.
the original poster has the following dimensions:
length = 96 inches
width = 40 inches
draw the new poster size on the grid.
note: start at point (0, 0).
assume that each square on the grid represents 2 inch by 2 inch.
with the polygon tool selected, plot the vertices in order ending back at the first vertex.

Explanation:

Step1: Calculate new length

To find the new length after scaling, multiply the original length by the scale factor. The original length is 96 inches and the scale factor is 0.25. So, the new length \( L_{new} = 96 \times 0.25 \). Calculating this, \( 96 \times 0.25 = 24 \) inches. But since each grid square represents 2 inches, we divide the new length by 2 to get the number of grid units. So, \( \frac{24}{2} = 12 \) grid units.

Step2: Calculate new width

Similarly, for the width, the original width is 40 inches. Multiply by the scale factor: \( W_{new} = 40 \times 0.25 \). Calculating this, \( 40 \times 0.25 = 10 \) inches. Divide by 2 (since each grid square is 2 inches) to get grid units: \( \frac{10}{2} = 5 \) grid units.

Step3: Determine vertices

Start at (0, 0). The next vertex (end of length) is (12, 0) (since length is 12 grid units along the x - axis). Then the next vertex (end of width) is (12, 5) (moving up 5 grid units from (12, 0)). The last vertex (back to start along the width) is (0, 5), and then back to (0, 0) to close the rectangle.

Answer:

The new poster has a length of 12 grid units (24 inches) and a width of 5 grid units (10 inches). The vertices to plot are (0, 0), (12, 0), (12, 5), (0, 5), and back to (0, 0).