Answer:
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.