Question

Matt looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one wall in the plan is 19 inches. The length of the diagonal of the floor of the room in the plan is approximately 20.62 inches.

Is the room in the shape of a square? Explain how you determined your answer. Show all your work.

Answer 1

Answer:

No it is not a square.

Step-by-step explanation:

A square has 4 equal sides and 1 right angle (which means 4 right angles.

The Pythagorean Theorem would result is

19^2 + 19^2 = 722 if the figure was a square.

Since the diagonal of this figure is 20. 62^2 = 415.2, the diagonal isn't log enough for the figure to be a square.