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Square = a²
Rectangle = ab
Parallelogram = bh
trapezoid =  \frac{h}{2} (b_{1} +  b_{2})
circle =  \pi  r^{2}
ellipse =  \pi  r_{1} r_{2}
triangle =  \frac{1}{2} bh
equilateral triangle =  \frac{ \sqrt{3} }{4}  (a^{2})

Hope I helped :)

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Depends on the polygon. If it is a square the formula is SxSxSxS or multiply the sides.
If Rectangle= LxW or multiply the length and the width
If Triangle=  1/2 BxH or Base times Height divided by two
If Trapezoid= 1/2 ( b1 + b2 ) x H  or Base1 plus base2 times the Height divided by 2
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