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Answer:
Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.
Step-by-step explanation:
Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.
As we are given Dimensions of rectangle A = 9 inches by 3 inches
Then for any scaling factor x the dimensions of rectangle B will be:
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimension of rectangle B = x * (9 inches by 3 inches)
Dimensions of rectangle B = 9x inches by 3x inches
For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:
For scaling factor (x) = 3;
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimensions of rectangle B = 3 (9 inches by 3 inches)
Dimensions of rectangle B = 27 inches by 9 inches
On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;
Dimensions of Rectangle B = x * ( Dimensions of rectangle A)
Dimensions of rectangle B = 0.75 (9 inches by 3 inches)
Dimensions of rectangle B = 6.75 inches by 2.25 inches
The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are:
A. 6 inches by 2 inches
D. 3 inches by 1 inch
Given that:
[tex]Length = 9in[/tex]
[tex]Width = 3in[/tex]
Calculate the equivalent ratio (k)
[tex]k = \frac{Length}{Width}[/tex]
So, we have:
[tex]k = \frac{9in}{3in}[/tex]
[tex]k =3[/tex]
The equivalent ratio is 3.
So, a scaled copy of rectangle A must have an equivalent ratio of 3.
The scaled copies are:
A. 6 inches by 2 inches
Because:
[tex]k = \frac{6in}{2in}[/tex]
[tex]k=3[/tex]
D. 3 inches by 1 inch
Because:
[tex]k = \frac{3in}{1in}[/tex]
[tex]k=3[/tex]
Read more about scaled copies of shapes at:
brainly.com/question/18649770
