No,The room is not a square shaped.This is because.Perimeter of the square shape would be length of any sides×4 as all sides will be the same in a square.Therefore, if the room ia a square, the 4 sides of room floor will be equal too.It is not a square shaped room beacause it sides are not equal for floor.We can determine by finding the sides;
diagonal is 18.75 so by using pythagoras theorem
diagonal^2 =l^2 + b^2
b^2=18.75^2 + 17^2
b =25.31 inches which is not the same as the length 17 inches.Therefore,the room is not a square
