The area of the composite figure is 23.98 m²
Composite figure;
Composite figure are made of up of two dimensional figures which might include rectangle, triangle etc.
The above composite figure is made up of a sector of a circle and a rectangle. The area of the composite figure is the sum of the whole areas.
Therefore,
area of the composite figure = area of the sector + area of rectangle
Therefore,
area of the sector = ∅ / 360 × πr²
where
r = radius = 5.5 / 2 = 2.75
area of the sector = 30 / 360 × 3.14 × 2.75²
area of the sector = 712.3875 / 360
area of the sector = 1.97885416667
area of the sector = 1.98 m²
area of the rectangle = lw
where
l = length
w = width
area of the rectangle = 4 × 5.5
area of the rectangle = 22 m²
Therefore,
area of the composite figure = 1.98 + 22 = 23.98 m²
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