There are different formulas for different figures.
Some of the most common are:
triangle = half base times height, or 1/2*b*h
square = length times width, or l*w
rectangle = length times width, or l*w
circle = pi times radius squared, or pi*r^2
trapezoid =half the height times the sum of the bases, or h/2 (b1 + b2)
ellipse = pi times the product of radius one and radius two, or pi*(r1*r2)
parallelogram = base times height, or b*h
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To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.
Use Heron's Formula
leanth times width
If the figure is irregular, you can't calculate its area (for example) with some simple formula. You need to use integration - which basically means to divide the figure into many narrow strips, which you assume to be rectangles.
To find the area of a composite figure consisting of a trapezoid and a triangle, you would first calculate the area of the trapezoid using the formula A = (1/2)h(b1 + b2), where h is the height of the trapezoid and b1 and b2 are the lengths of the two parallel bases. Then, you would calculate the area of the triangle using the formula A = (1/2)bh, where b is the base of the triangle and h is the height. Finally, you would add the areas of the trapezoid and the triangle together to find the total area of the composite figure.