Maria looked at the architectural plan of a room with four walls in which the walls meet each other at right angles. the length of one wall in the plan is 13 inches. the length of the diagonal of the floor of the room in the plan is approximately 15.26 inches. is the room in the shape of a square? explain how you determined your answer. show all your work. i know the room is not a square im just not sure why

The lengths of a square room are equal

The room is not a square, because the side lengths are not equal.

The given parameters are:

-- diagonal

---- length

First, we calculate the other length (x) of the room using Pythagoras theorem

So, we have:

Substitute values for d and l

Subtract 169 from both sides

Take square roots of both sides

Rewrite as:

The lengths of the room are 7.99 inches and 13 inches

This means that the room is not a square, because the side lengths are not equal.

Read more about squares at:

link