Master the Mathematics of Shapes: Formulas to Calculate Areas of Squares, Rectangles, Triangles, Circles, Trapezoids, and Parallelograms

area

The area of a shape is the measure of the surface enclosed by its boundaries

The area of a shape is the measure of the surface enclosed by its boundaries. The formula to calculate the area varies depending on the shape you are dealing with. Let’s explore the formulas for some common shapes:

1. Square:
The area of a square is found by multiplying the length of one side by itself. Therefore, if you know the length of a side (s), the formula to calculate the area (A) is A = s^2.

2. Rectangle:
The area of a rectangle is calculated by multiplying its length (l) by its width (w). If you have the values of length and width, the formula to determine the area is A = l * w.

3. Triangle:
The area of a triangle can be found using the formula A = (base * height) / 2. Here, the base and the height must be perpendicular to each other.

4. Circle:
The area of a circle involves the use of a mathematical constant called pi (π), which is approximately equal to 3.14159. The formula to compute the area of a circle with radius (r) is A = π * r^2.

5. Trapezoid:
The area of a trapezoid requires the values of its two parallel bases (b1 and b2) and the height (h). The formula to find the area is A = ((b1 + b2) * h) / 2.

6. Parallelogram:
The area of a parallelogram is determined by multiplying the length of a base (b) by its corresponding height (h). Thus, the formula to calculate the area is A = b * h.

Remember to use consistent units for all measurements to obtain accurate results. These formulas can help you find the area of various shapes by substituting the provided values into the corresponding formula.

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