Question

nc.7.g.1

1. noah enlarged a rectangular photograph by a scale factor of 6. the area of the enlarged photo 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 linear dimensions is $k$, the scale factor of the area is $k^{2}$.

Step2: Identify the given scale factor

The scale factor of the rectangular photograph's linear dimensions $k = 6$.

Step3: Calculate the area scale factor

The area scale factor is $k^{2}=6^{2}=36$.

Answer:

D. 36 times larger