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Step1: Recall triangle - area formula
The area formula for a triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.
Step2: Identify base and height
For a right - triangle, two perpendicular sides can be considered as the base and height. Here, if we take $b = 12$ ft and $h = 5$ ft.
Step3: Calculate the area
$A=\frac{1}{2}\times12\times5= 30$ square feet.
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30 square feet