Respuesta :

Solution

- The formula for finding the area of a parallelogram is:

[tex]\begin{gathered} A=b\times h \\ where, \\ b=base\text{ of the parallelogram} \\ h=height\text{ of the parallelogram} \end{gathered}[/tex]

- The question has given us the height to be

[tex]\frac{1}{3}ft[/tex]

- 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

[tex]\frac{1}{2}-\frac{1}{6}=\frac{3-1}{6}=\frac{2}{6}=\frac{1}{3}ft[/tex]

- Thus the area of the parallelogram is:

[tex]\begin{gathered} A=b\times h=\frac{1}{3}\times\frac{1}{3} \\ \\ A=\frac{1}{9}ft^2 \end{gathered}[/tex]

Ver imagen AdahirP356100