It's because dpi stands for 'dots per inch', so a printer that can do more dots per inch can produce finer detail on the printed page.
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There si no direct answer. It depends on the dpi resolution of the graphic device. Fr example a 300 dpi printer will have 300 pixels per inch.
To work out area it depends on the shape. Here are some formulas for some shapes:SquareLength x Length = AreaThis means you find the length of the side and multiply it by itself again.RectangleLength x Width = AreaThis means you find the length of one side then you find the width of another and multiply them.TriangleBase x Height ÷ 2This means you find the length of the base and you multipy it by the height. Then you divide the by 2.Trapezium(a + b) x Height ÷ 2This means you find the top part of the trapesium (a) and you mulitiply iy by the bottom part of the trapezium (b). You them mulitply the by the height of the trapezium. After that, you divide the by 2.ParallelogramBase x HeightThis means you multiply the base of the Parallelogram by its height.CirclePi x r2 or Pi x dPi x r2 : This means you find the radius of the circle, square it and multiply it by Pi.Pi x d : This means you find the diameter of the circle and multiply it by Pi.