The area of a rectangle can be calculated using the following formula:
[tex]A=lw[/tex]Where "l" is the length and "w" is the width.
In this case you know that:
[tex]\begin{gathered} l=12ft \\ w=8ft \end{gathered}[/tex]Then, substituting values into the formula and evaluating, you get that Jake's patio area is:
[tex]A=(12ft)(8ft)=96ft^2[/tex]If you double the area, this would be:
[tex]A=(96ft^2)(2)=192ft^2[/tex]Knowing the above, let's check each option:
1. If you double the length only:
[tex]A=\lbrack(12ft)(2)\rbrack(8ft)=192ft^2[/tex]2. Adding 2 feet to the length only:
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