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In this question , it is given that A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.

And since the scale factor is 7, so we have to multiply the given dimension of the rectangle by 7 to find the new dimension, that is

[tex] 2*7 inches \ by \ 3*7 inches \\ = 14 inches \ by \ 21 inches [/tex]

So the side lengths of the scaled copy are 14 inches and 21 inches .

The side lengths of the scaled copy are 14 inches by 21 inches

When something is said to have been scaled by a factor it means that it has been increased by that factor.

When increasing the lengths of a shape by a factor, the length is multiplied by the factor.

In this case the lengths are 2 in and 3 in so the new lengths will be:

= 2 x 7

= 14 inches

= 3 x 7

= 21 inches

The side length of the scaled copy is therefore 14 inches by 21 inches.

Find out more at https://brainly.com/question/14513769.