You can measure the shape by calculating its area. The formula of an area depends on the shape you want to measure. Here are some formula of an area:
Circle= get the square of the radius and multiply it by pi constant
Square= get the square of one of the sides
Rectangle = multiply its length by its width
Triangle= multiply the base by its height and divide the product by two
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all of the shape, surface area is the total length of all edges of the shape
If the shape is a regular polygon or curve there are formula for each shape. If the shape is irregular you will have to measure each piece of the shape's edge and sum all the pieces together.
You could measure the sides of a shape and use trigonometry.
to measure a shape
The answer will depend on the shape itself and what other information you have about it. Otherwise, there is no option but to measure them.