Question

A rectangular carpet measures 30 feet long and 45 feet wide. What is the length of thediagonal of the carpet? If necessary, round your answer to the nearest tenth.

Answer 1

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:

`d\text{ =}\sqrt[]{L^2+W^2\text{ }}=\sqrt[]{30^2+45^2\text{ }}=15\sqrt[]{13\text{ }}=54.08\approx54.1`

So that, we can conclude that the correct answer (rounded to the nearest tenth) is:

`54.1`