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If the base is a rectangle, use the formula for the area of a rectangle.
The formula is for a square and rectangle is A=bh or A=lw
In the formula for the rectangle, put the width equal to the length.
There are several different formulae for the area of a triangle - depending on the available information - and these were invented by different people.
Nobody invented the area of a rectangle. A rectangle would have had an area even if human beings had never existed!