To find the area of the new poster, we first need to determine the scale factor. The original poster has a width of 4 ft and the new poster has a width of 2 ft. The scale factor can be calculated as follows:
Scale factor = New width / Original width = 2 ft / 4 ft = 0.5
Now, we apply this scale factor to the length of the original poster to find the new length:
New length = Original length × Scale factor = 10 ft × 0.5 = 5 ft
Now, we can calculate the area of the new poster using the formula for the area of a rectangle (Area = length × width):
Area = New length × New width = 5 ft × 2 ft = 10 ft²
Therefore, the area of the new poster is 10 square feet (ft²).