Answer: [tex]Area\text{ of the figure = 210 ft}^2[/tex]
Explanation:
We have been given a figure and we need to find its area.
To determine the area we will divide the figure into known shapes. From the division into shapes, we have a square and a trapezoid.
[tex]Area\text{ of the figure = Area of the square + Area of the trapezoid}[/tex][tex]\begin{gathered} Dimensions\text{ of the square:} \\ length\text{ = 12 ft} \\ Area\text{ of the square = length}^2 \\ \\ Area\text{ of the square = 12}^2 \\ \\ Area\text{ of the square = 144 ft}^2 \end{gathered}[/tex][tex]\begin{gathered} Dimensions\text{ of the trapezoid:} \\ base\text{ 1 = 10 ft, base 2 = 12 ft} \\ height\text{ = 6 ft} \\ \\ Area\text{ of trapezoid = }\frac{1}{2}(10\text{ + 12\rparen}\times\text{ 6} \\ \\ Area\text{ of trapezoid = }\frac{1}{2}\times22\text{ }\times6\text{ = 11}\times6 \\ \\ Area\text{ of trapezoid = 66 ft}^2 \end{gathered}[/tex][tex]\begin{gathered} Area\text{ of the figure = 144 + 66} \\ \\ Area\text{ of the figure = 210 ft}^2 \end{gathered}[/tex]
