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Tatum has a photo that has a length of 8 inches and a width of 12 inches. She will dilate the photo by a scale factor of (3)/(4). What are the new dimensions of the photo?

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Final answer:

To find the new dimensions of the photo after dilation, multiply the original dimensions by the scale factor. The new dimensions are 6 inches (length) and 9 inches (width).

Step-by-step explanation:

To find the new dimensions of the photo after dilation, we need to multiply the length and width by the scale factor.

Given that the scale factor is (3)/(4), we can calculate the new length:

  1. Multiply the original length by the scale factor: 8 inches x (3)/(4) = 6 inches.

Similarly, we can calculate the new width:

  1. Multiply the original width by the scale factor: 12 inches x (3)/(4) = 9 inches.

Therefore, the new dimensions of the photo after dilation are 6 inches (length) and 9 inches (width).

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