Question

A souvenir maker wants to create a scale model of the Eiffel Tower. The Eiffel Tower is 324 meters tall and has a base with dimensions 125 meters by 125 meters. The model will rest on a base with dimensions 5 cm by 5cm. How tall will the model be in centimeters?

Answer 1

The answer is 12.96 cm.

Answer 2

12.96 centimeters

Explanation:

We have been given that the Eiffel Tower is 324 meters tall and has a base with dimensions 125 meters by 125 meters. The model will rest on a base with dimensions 5 cm by 5 cm.

To find the height of model of Eiffel tower, we will use proportions.

`\frac{x}{324\text{ m}}=\frac{5\text{ cm}}{125\text{ m}}`

`\frac{x}{324\text{ m}}*324\text{ m}=\frac{5\text{ cm}}{125\text{ m}}*324\text{ m}`

`x=\frac{1\text{ cm}}{25}*324`

`x=\frac{324\text{ cm}}{25}`

`x=12.96\text{ cm}`

Therefore, the model of Eiffel Tower would be 12.96 centimeters tall.