Answers:
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Explanation:
I'm assuming 7/5 is the scale factor. If so, notice how 7/5 = 1.4 which is larger than 1.
The scale factor being larger than 1 means we have an enlargement.
The image is going to be larger compared to the preimage.
The preimage rectangle is 12 in by 6 in. Multiply each dimension by 1.4 to get 12*1.4 = 16.8 and 6*1.4 = 8.4
The image rectangle is 16.8 inches by 8.4 inches
Answer:
This is an enlargement. The dimensions of the scaled rectangle is 16.8 inches by 8.4 inches.
Step-by-step explanation:
This is a dilation.
A dilation makes a figure larger or smaller.
In this case, the scale factor is an enlargement; the figure will be larger.
The figure will be larger because the scale factor, 7/5, is larger than one (1).
If the scale factor were smaller than one (1), it would be a reduction.
In dilations, a scale factor is how much larger the image will be.
In other words, multiply the side lengths by the scale factor.
The original rectangle has a length of 12 inches and a width of 6 inches.
[tex]12*7/5=84/5[/tex]
[tex]6*7/5=42/5[/tex]
It will be more convenient to change the products, which are fractions, to decimals.
[tex]84/5=16.8[/tex]
[tex]42/5=8.4[/tex]
Therefore, the dimensions of the scale rectangle is 16.8 inches by 8.4 inches.
