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
Mathematics
NaiNai27
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 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?
2 Answer

1. User Answers superkoopasirf
I've attached the answer below. 
2. User Answers oeerivona
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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