You get the area by using formulas. There is usually a specific formula to find the area of each shape. Some irregular shaps may not have a formula.
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You would find the area of the inside and outside shape (pretending that the inside shape was not in the outside shape). then, you would take the area of the outside shape and subtract the area of the inside shape.
In the phrase 'area of a shape', both area and shape are nouns. In your mind, add 'the', it helps to show that they are nouns: 'the area of the shape'.
The area of a shape is measured in square units
they are different because perimeter is the out side of the shape and area is inside of the shape.
Shape of what ?