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in Polygons by (20 points)
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Find the area of the following figure

image

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1 Answer

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(a) Area of parallelogram = Base x Height

= (12 x 7) cm2

= 84 cm2 

(b) r = Radius of semi-circle = 3.5 cm

∴ Area of semi-circle = \(\frac12 \pi r^2\)

\(= \frac 12 \times \frac{22}7 \times 3.5\times 3.5\)

\(= 19.25\, cm^2\)

(c) Area of shape/figure = Area of semi-circle + Area of triangle

\(= \frac12\pi r^2 + \frac12\times \) Base \(\times\) Height

\(= \frac 12 \times \frac{22}7 \times 3.5\times3.5+\frac 12 \times 3.5\times 3\)

\(= 19.25 + 5.25\)

\(= 24.50 \,cm^2\)

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