Solution
- The formula for finding the area of a parallelogram is:
![\begin{gathered} A=b* h \\ where, \\ b=base\text{ of the parallelogram} \\ h=height\text{ of the parallelogram} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hv1ledwxufhplqxoludsvpz1orrqlvfx0t.png)
- The question has given us the height to be
![(1)/(3)ft](https://img.qammunity.org/2023/formulas/mathematics/college/wmh4b7zuxs9euv11khl6bpuzl2eu0oyfap.png)
- But we are not clearly given the base (b), although, we can infer it from the diagram.
- The base can be found by visualizing the image as shown below:
- From the above, we can see that the base (b) is
![(1)/(2)-(1)/(6)=(3-1)/(6)=(2)/(6)=(1)/(3)ft](https://img.qammunity.org/2023/formulas/mathematics/college/cbsde99vpviqywn2qhho9as9v6oxqvo2w6.png)
- Thus the area of the parallelogram is:
![\begin{gathered} A=b* h=(1)/(3)*(1)/(3) \\ \\ A=(1)/(9)ft^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pleke6rhv90cdiaabop274ogw4pzizt81t.png)