Question

How is these two expressions relate (a+b) 1/2×ha×h/2+b×h/2

Answer 1

The expressions are related since one is the expansion of the other, that is:

`((a+b)h)/(2)=(ah+bh)/(2)=(ah)/(2)+(bh)/(2)`

If each value (a, b & h) represent base1, base2, and height respectively, then they can be used to find the area of the trapezoid since this is given by the following expression:

`A=(a+b)/(2)h`