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area of shaded region: 21.07 ft²

Given for semi circle:

Given for rectangle:

Find area of rectangle:

Length * Width

14 * 7

98 ft²

Find the area of semi circle:

1/2 * π * r²

1/2 * 3.14 * (7)²

76.93 ft²

Area of shaded region:

area of rectangle - area of semi-circle

98 ft² - 76.93 ft²

21.07 ft²

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.