a rectangle
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No. A square is a 2-dimensional figure. A cube is a 3-dimensional figure whose faces are all squares.
Count the number of grid squares which are entirely or almost entirely inside the figure = ACount the number of grid squares which are approximately half (or more) inside = B Estimated area = A + B/2.
an Angle
It is not possible to answer in terms of a grid that cannot be seen, but a normal grid of 2 squares x 2 squares will have 5 squares.
Every closed figure with at least 4 sides has at least 2 diagonals. Every quadrilateral (figure with exactly 4 sides) has exactly 2 diagonals. That includes all parallelograms, rhombera, rectangles, squares, trapezoids, diamonds, and kites, as well as all other irregular quadrilaterals.