(03.01 MC) 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.

The room is not in the shape of a square

Step-by-step explanation:

The formula for the diagonal of a square is given as

= √ ( L² + L²)

Where L = length of the side of a square

From the question, we are given the Length of the one side of the wall= 19 inches

Length of the diagonal = 20.62 inches

To confirm if the shape is truly a square we use the formula for the diagonal of the square

= √( L² + L²)

= √(19² + 19²)

= √722

= 26.870057685 inches

Approximately = 26.87 inches

When we compare the calculated diagonal, to the diagonal of the wall given in the question, they are not the same.

26.87 inches ≠ 20.62 inches

Therefore, the room is not in the shape of a square.