how do you find the area of a figure

http://www.mathsisfun.com/area.html

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To find the area of a figure, you need to know the shape of the figure. There are different formulas to calculate the area of different shapes. Here are some common ways to find the area of different figures:

1. Square or Rectangle:
The area of a square or rectangle can be found by multiplying the length of one side (base) by the length of the adjacent side (height). The formula is: Area = Length × Width.

2. Triangle:
To find the area of a triangle, multiply the base length by the height of the triangle, and then divide the result by 2. The formula is: Area = (Base × Height) / 2.

3. Circle:
The area of a circle can be found using the radius or the diameter. If you have the radius, use the formula: Area = π × radius². If you have the diameter, use the formula: Area = π × (diameter/2)², where π (pi) is a mathematical constant approximately equal to 3.14159.

4. Trapezoid:
To find the area of a trapezoid, multiply the sum of the lengths of the parallel sides (bases) by the height of the trapezoid, and then divide the result by 2. The formula is: Area = ((Base1 + Base2) × Height) / 2.

5. Other irregular shapes:
For irregular shapes, you can use various techniques. One method is to divide the shape into smaller, regular shapes (like rectangles or triangles), find the area of each shape, and then sum up their areas to get the total area of the figure. Another method is to use advanced mathematical techniques such as calculus or numerical integration.

Remember, always double-check the formula and units of measurement to ensure accurate results.