The total area of the room and the sitting room is 286.93 feet squared
How to find area of a composite figure?
The figure above is a composite figure as it has both rectangle and a semi circle.
The area of the figure(sitting room) is as follows:
total area = area of rectangle + area of semi circle
area of rectangle = lw
where
Therefore,
l = 15 ft
w = 14 ft
area of rectangle = 15 × 14 = 210 ft²
Area of semi circle = πr² / 2
Area of semi circle = 3.14 × 7² / 2
Area of semi circle = 3.14 × 49 / 2
Area of semi circle = 153.86 / 2
Area of semi circle = 76.93 ft²
Area of the sitting room and room= 210 + 76.93 = 286.93 ft²
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