Calculating the Area of Rectangles, Parallelograms, Triangles, and Trapezoids | Formulas and Explanation

Definition: covering of a two-dimensional shape Example: area is A=bh for rectangles and parllelagram and for triangles it is A=1/2 bhand for trapazoid it is

A=1/2(b1 + b2)h

A covering of a two-dimensional shape refers to the process of finding the total amount of space required to completely cover the shape

A=1/2(b1 + b2)h

A covering of a two-dimensional shape refers to the process of finding the total amount of space required to completely cover the shape. In the case of polygons like rectangles, parallelograms, triangles, and trapezoids, the area is a measure of the amount of space inside the shape.

For rectangles and parallelograms:
The area (A) of a rectangle or parallelogram can be calculated by multiplying the base (b) of the shape by its height (h). So, the formula is A = b * h.

For triangles:
The area (A) of a triangle can be calculated by multiplying half of the base (b) of the triangle with its height (h). So, the formula is A = (1/2) * b * h.

For trapezoids:
The area (A) of a trapezoid can be calculated by adding the lengths of the parallel bases (b1 and b2), multiplying the sum by the height (h), and dividing the result by 2. So, the formula is A = (1/2) * (b1 + b2) * h.

These formulas are derived based on the characteristics of the given shapes and provide a standardized method to calculate their respective areas.

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