The relationship between linear scale factor and area scale factor can be
used to find the area of the window after it is enlarged.
- The area of the window after it is enlarged is 72 square feet
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
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