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valentinak56 [21]
3 years ago
12

A rectangle has a length of 9 inches and a width of 12 inches. This rectangle is dilated by a scale factor of 3.5 to create a ne

w rectangle. Which figure represents the new rectangle.

Mathematics
2 answers:
Nat2105 [25]3 years ago
8 0
Divide both length and width by the dialtion factor and that will be the dimensions of the new rectangle. 2.5714in by 3.4286in. Round as needed
TiliK225 [7]3 years ago
3 0

Answer : The figure of the new rectangle is shown below.

Step-by-step explanation :

As we are given that:

Length of rectangle = 9 inches

Width of rectangle = 12 inches

When the rectangle is dilated by a scale factor of 3.5 then it create a new rectangle.

Now we have to determine the figure of the new rectangle.

Formula of scale factor is:

\text{Scale factor}=\frac{\text{Larger length}}{\text{Smaller length}}

Given:

Scale factor = 3.5

The length of new rectangle will be:

\text{Scale factor}=\frac{\text{Larger length}}{\text{Smaller length}}

3.5=\frac{\text{Larger length}}{9}

\text{Larger length}=3.5\times 9

\text{Larger length}=31.5 inches

and,

The width of new rectangle will be:

\text{Scale factor}=\frac{\text{Larger width}}{\text{Smaller width}}

3.5=\frac{\text{Larger width}}{12}

\text{Larger width}=3.5\times 12

\text{Larger width}=42 inches

Thus, the figure of the new rectangle is shown below.

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