Solution:
Consider the following diagram of the rectangular carpet:
We want to find the diagonal of the carpet d. To do this, we can apply the Pythagoras theorem:
[tex]d\text{ =}\sqrt[]{L^2+W^2\text{ }}=\sqrt[]{30^2+45^2\text{ }}=15\sqrt[]{13\text{ }}=54.08\approx54.1[/tex]So that, we can conclude that the correct answer (rounded to the nearest tenth) is:
[tex]54.1[/tex]
