All answers are listed below:
- For A = 0 ft², the scale factor is 0.
- For A = 40 ft², the scale factor is 2.
- For A = 160 ft², the scale factor is 4.
- For A = 360 ft², the scale factor is 6.
- For A = 640 ft², the scale factor is 8.
How to determine the dilated area of a parallelogram
The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:
A = k² · b · h (1)
Where k is the scale factor.
And we can derive a scale factor by comparing two areas:
[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex] (2)
Where [tex]A_{o}[/tex] is the original area, in square feet.
If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:
For A = 0 ft², the scale factor is 0.
For A = 40 ft², the scale factor is 2.
For A = 160 ft², the scale factor is 4.
For A = 360 ft², the scale factor is 6.
For A = 640 ft², the scale factor is 8.
To learn more on scale factors, we kindly invite to check this verified question: https://brainly.com/question/22312172
