Answer:
The area of the replica’s base would be 4.41 m².
Step-by-step explanation:
Given,
The base of the monument is a square of length 16.8 m.
That is, the actual side length of the base = 16.8 m
Scale factor = [tex]\frac{1}{8}[/tex]
Now,
[tex]\text{Scale factor}=\frac{\text{Scaled measure}}{\text{Actual measure}}[/tex]
[tex]\frac{1}{8}=\frac{\text{Scaled measure}}{16.8}[/tex]
[tex]\implies \text{Scaled measure} = \frac{16.8}{8}=2.1[/tex]
Thus, the side length of the replica's base is 2.1 m.
The base of replica is also a square.
Area of the base of replica = side²
= 2.1²
= 4.41 m²
Therefore, the area of the replica’s base would be 4.41 m².