Question

Amy is creating an enlargement of the following image for an art gallery.


She needs the enlargement to follow the scale of ¼ of a foot to 3 feet. This will result in an image with a length of 8 feet and width of 6 feet.

what is the unit rate of area in square feet of the enlargement image per square foot of area of the original image?

A. 144 square feet per square foot

B. 48 square feet per square foot

C. 16 square feet per square foot

D. 32 square feet per square foot​

Answer 1

Answer:

A

Step-by-step explanation:

Since all of the dimensions are being expanded by a scale of 1/4 of a foot to 3, or an increase of a factor of 12, the area is being increased by 12*12=144 times, or choice A. Hope this helps!

Answer 2

The unit rate of area in square feet of the enlargement image per square foot of the area of the original image is 144 square feet.

The scale of 1/4 of a foot = 3 feet

So scale of a foot = 3*4 =12 feet

What is a scale factor?

A scale factor is a factor by which the dimension of an object is enlarged or diminished.

So, the area of the enlarged image = 12 feet*12 feet

The area of the enlarged image =144 square feet

Hence, the unit rate of area in square feet of the enlargement image per square foot of the area of the original image is 144 square feet.

To get more about scale factors visit:

https://brainly.com/question/1903243