Question

1. what is the scale factor used on shape a to create shape b? 4. noah enlarged a rectangular photograph by a scale factor of 6. the area of the new photograph is how many times as large as the area of the original? a. 6 times larger b. 12 times larger c. 30 times larger d. 36 times larger

Explanation:

Step1: Recall area - scale factor relationship

For a two - dimensional shape, if the scale factor of length is \(k\), the scale factor of area is \(k^{2}\).

Step2: Identify the given scale factor

The scale factor of the length of the rectangular photograph is \(k = 6\).

Step3: Calculate the scale factor of the area

We use the formula for the scale factor of area. Since the scale factor of area \(A_{new}/A_{old}=k^{2}\), substituting \(k = 6\) into the formula, we get \(k^{2}=6^{2}=36\).

Answer:

D. 36 times larger