Question

The Washington Monument is 169 meters tall with a square base 16.8 m wide. An artist plans to construct a replica on the shore of Lake Michigan in Wisconsin, using a scale factor of 1:8.

What is the area of the replica’s base?

Answer 1

The area of the replica’s base would be 4.41 m².

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 =
`(1)/(8)`

Now,

`\text{Scale factor}=\frac{\text{Scaled measure}}{\text{Actual measure}}`

`(1)/(8)=\frac{\text{Scaled measure}}{16.8}`

`\implies \text{Scaled measure} = (16.8)/(8)=2.1`

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.