To answer this question, we need to know (or find) the formula for the area of a parallelogram:
Where
b is the length of the base, and
h is the height of the parallelogram.
We have from the question:
h = 6cm
A = 54 sq. centimeters.
Then, we can obtain the length of the base of the parallelogram solving for b from the previous formula. Then, we have:
![A_{\text{parallelogram}}=b\cdot h\Rightarrow54\operatorname{cm}=b\cdot6\operatorname{cm}]()
Then, to solve for b, we need to divide by 6 cm to both sides of the equation:
![\frac{54\operatorname{cm}^2}{6\operatorname{cm}}=b\cdot\frac{6\operatorname{cm}}{6\operatorname{cm}}\Rightarrow b=\frac{54\operatorname{cm}^2}{6\operatorname{cm}}\Rightarrow b=9\operatorname{cm}]()
Therefore, the base of the parallelogram is, in this case, equal to 9 cm or b = 9 cm.