Mathematics

Question

A window is 4 feet wide and 8 feet tall.

A rectangle is shown. The length of the rectangle is labeled 4 feet. The width of the rectangle is labeled 8 feet.

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?
A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. The width of the rectangle is labeled 8 feet. A ma

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  • I've attached the answer below.

  • 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

    Learn more about scale factors here:

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