We know what the base and area of the parallelogram are, but the height is still unknown. We also know that the formula for the area is:
A = bh
Meaning we multiply the base by the height to find the area. The opposite of multiplication is division, so we must divide the area by the base to find the height. (We work in the opposite way).
B = a / h
B = 700 cm² / 35 cm
B = 20
We can double check by multiplying 20 by 35, and the product should result in 700.
20 * 35 = 700
Therefore, the height of the parallelogram is 20 centimetres.
where we pick the solution for this system such that . Then we find
Note that you can always find a solution to the system above that satisfies as long as . What this means is that you can always find the value of as a (constant) function of .