the Hernandez Family build a backyard patio what could the dimensions of the patio?

For this you can use the formula of the area of a rectangle:
[tex]\begin{gathered} A=l\cdot w \\ \text{ Where A is the area,} \\ l\text{ is the length and} \\ w\text{ is the width} \end{gathered}[/tex]Then, the dimensions of the patio will be a length and a width that multiplied give as a result 150 square feet
[tex]\begin{gathered} A=l\cdot w \\ 150ft^2=15ft\cdot10ft \end{gathered}[/tex]Therefore, the dimensions of the patio will be 15 feet long by 10 feet wide.