Question

Find the area of the polygonal.. Don't spam​

Answer 1

Answer:

The area of the polygon is 57\ cm^257 cm

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Explanation:

The given figure consists of a trapezium and a triangle.

Area of trapezium =\dfrac{1}{2}(\text{Sum of parallel sides) (height})

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1

(Sum of parallel sides) (height)

Area of triangle =\dfrac{1}{2}(\text{Base) (height})

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1

(Base) (height)

In trapezium,

Parallel sides of trapezium = 6 cm and 10 cm

height of trapezium = 4 cm

Area of trapezium = \dfrac{1}{2}(6+10)(4)

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1

(6+10)(4)

=\dfrac{1}{2}(16)(4)=

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1

(16)(4)

=(8)(4)=32\ cm^2=(8)(4)=32 cm

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In triangle,

Base = 10 cm

height = 5 cm

Area of triangle = \dfrac{1}{2}(10)(5)=25\ cm^2

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1

(10)(5)=25 cm

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Now , Area of polygon = Area of trapezium+Area of triangle

32\ cm^2+25\ cm^2=57\ cm^232 cm

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+25 cm

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=57 cm

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Hence, the area of the polygon = 57\ cm^257 cm

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