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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 Manufa class=

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Superkoopasirfid
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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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