To find the perimeter and areas of complex shape without a grid you should divide the shape into simple shapes and find the area of each shape alone and then add up the areas all together to get the area of the whole shape. Example: If there is a shape that can be divided into 2 triangles and 1 rectangle then you will find the area of each triangle alone and then the area of the rectangle then add up all the areas together.
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You don't need to if you can manage to work out the perimeter and area of complex shapes. Most people cannot work easily with shapes other than triangles, quadrilaterals, circles and semicircles. For them (us) it is easier to partition the shape.
Yes - even shapes with different area.
Most shapes have different perimeter than area, as far as value.
There is no perimeter of a circle. Only flat shapes have perimeters. You can however, find the circumference, surface area, and volume.
Because the area is different than the perimeters