Question

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

Answer 1

Using the Pythagorean theorm, 
a^2 + b^2 = C^2, where a nd b are the side lengths and c is the hypotenuse ( diagonal line)

If it was a square both sides would be the same length so we would have:
13^2 +13^2 = c^2
169 + 169 = c^2
338 = c^2

c = SQRT(338) = 18.38

18.38 is larger than the 15.26 given in the problem , so the room is not a square.