Answer:
71.8%
Step-by-step explanation:
The shape described in question is a square overlaid with two quarter circles(a semi circle)
Area of the figure = Area of the square + area of the semi circle
Area of the figure = [tex]L^{2}+\frac{\pi r^{2} }{2}[/tex]
L = length of a side of the square = 12in
r is the radius of the semi circle = 6in
Area of the figure = [tex]12^{2} + \frac{36\pi }{2} }\\[/tex]
Area of the figure = [tex]144+18\pi[/tex] = 200.55in²
Since the shaded portion is a square;
percent of the total area is shaded = area of the square/total area * 100%
percent of the total area is shaded = 144/200.55* 100
percent of the total area is shaded= 71.8%
