Answer:
1560.55 ft
Step-by-step explanation:
Both the sides of equilateral triangle and square are represented by x as shown in the sketch (attached). The height of equilateral triangle will be given by
[tex]h=\sqrt {x^{2}-(0.5x)^{2}}=\sqrt {0.75x^{2}}=\sqrt {\frac {3}{4}}=\frac {\sqrt {3}}{2}x[/tex]
Area of rectangle=[tex]0.5*x*\frac {\sqrt {3}}{2}x=\frac {\sqrt {3}}{4}x^{2}[/tex]
Area of square=x*x=x^{2}
Total area is [tex]x^{2}+\frac {\sqrt {3}}{4}x^{2}[/tex]
Total area is [tex]x^{2}(1+\frac {\sqrt {3}}{4})[/tex] and substituting x with 33 ft we obtain
[tex]Area=(33)^{2}(1+\frac {\sqrt {3}}{4})\approx 1560.55 ft^{2}[/tex]
