Question

similar figures and area practice
complete this assessment to review what you’ve learned. it will not count toward y
use the image to answer the question.
alcivious draws a square with a side that measures 5 cm. he dilates the square using a scale factor of 4. what is the ratio of the area of the dilated square to the area of the original square? use a decimal response if necessary.
(1 point)
□:1

Explanation:

Step1: Find original area

The area of a square is side squared. Original side is 5 cm, so original area $A_{original}=5^2 = 25$ $cm^2$.

Step2: Find dilated side

Scale factor is 4, so dilated side $s_{dilated}=5\times4 = 20$ cm.

Step3: Find dilated area

Dilated area $A_{dilated}=20^2=400$ $cm^2$.

Step4: Find the ratio

Ratio of dilated area to original area is $\frac{A_{dilated}}{A_{original}}=\frac{400}{25}=16$.

Answer:

16