Question

In an investigation, Detective Tracy discovered a photograph that showed his number one suspect at the scene of the crime. To get a better look, he enlarged the picture by a scale factor of 51 . If the original photo measured 4 inches by 3.2 inches, what were the dimensions of the enlargement?

Answer 1

To determine the dimensions of the enlargement, multiply the original photo's dimensions, 4 inches by 3.2 inches, by the scale factor of 51, resulting in an enlarged photo measuring 204 inches by 163.2 inches.

Step-by-step explanation:

The student is asking about the dimensions of an enlarged photograph. To find the dimensions of the enlarged photo, Detective Tracy's scale factor of 51 needs to be applied to the original photo's dimensions. Since the original photo measured 4 inches by 3.2 inches, each dimension must be multiplied by the scale factor to obtain the new dimensions.

To calculate this, the following steps are taken:

1. Identify the original dimensions of the photo, which are 4 inches by 3.2 inches.
2. Multiply each dimension by the scale factor of 51.
   For the width: 4 inches × 51 = 204 inches.
   For the height: 3.2 inches × 51 = 163.2 inches.

The enlarged photograph will therefore measure 204 inches by 163.2 inches.