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

If the room is in the shape of a square, then 19^2 + 19^2 = 20.62^2

19^2 + 19^2 = 361 + 361 = 722
sqrt(722) = 26.87

Because 19^2 + 19^2 ≠ 20.62^2
Therefore, the room is not in the shape of a square.

Answer 2

Answer:

No, the room is not a square.

Square = 19 x 19 + 19 x 19 = 722

Now, we have to square the 722

 = 26.87

In conclusion, the room is not in the shape of a square.