We use the formula of the area of the parallelogram
![A=b* h](https://img.qammunity.org/2023/formulas/mathematics/high-school/x6ec4eglxoy7p45t24cc5929ouniq3fcl1.png)
Where A is the area, b the length of the base and H the height
then replacing
![\begin{gathered} 70=7* g \\ 70=7g \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/74p5jsgxhjk3ssmhbzy0svlrmfhkf6o8o7.png)
we solve for g dividing on both sides between 7
![\begin{gathered} (70)/(7)=(7g)/(7) \\ \\ 10=g \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/908v5mcqiuerjmqnzgy3efqn7ta2wdmojr.png)
the value of g(height) is 10 ft
to check we calculate the area of the parallelogram using base ang height
![\begin{gathered} A=7*10 \\ A=70 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/w1933w20p64udz856hi17e96czzm5lowuh.png)
area if the statement is 70 too, then is right