A manufacturer wants to use a scale factor of 1.5 to enlarge a window. What will the area of the window be after it is enlarged?
The relationship between linear scale factor and area scale factor can be
used to find the area of the window after it is enlarged.
Reasons:
The length of the window = 4 feet
The width of the window = 8 feet
The scale factor the manufacturer wants to use, LSF = 1.5
Required:
The area of the window after it is enlarged
Solution:
The scale factor of area, Area SF = The square of the length scale factor, LSF²
Therefore;
Area SF = 1.5² = 2.25
Area of the window after it is enlarged = Original area × 2.25
The original area = 8 ft. × 4 ft. = 32 ft.²
Therefore;
Area of the window after it is enlarged = 32 ft.² × 2.25 = 72 ft.²
Learn more about scale factors here:
2/300 = 0.0067
2/300 x 100 = 0.67%