Math, asked by fatimafaisal84, 2 months ago

Pls solve it I need it fast​

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Answered by Truebrainlian9899
5

Solution :

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☞︎︎︎ Given :

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  • AB = 14cm

  • BC = 28cm

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  • We see , if we cut the figure....

☆ we get -

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  • ABCD a rectangle

  • BC a semi - circle

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☞︎︎︎ Finding Perimeter :

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  • Length = 28cm

  • Breadth = 14cm

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  \large \boxed{ \mathtt{perimeter = 2(lengt + breadth)}}

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➪ Perimeter = 2(28cm + 14cm)

➪ Perimeter = 2(42cm)

Perimeter of rectangle = 84cm

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  • Finding Circumference of semi circle :

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  • Radius = half of diameter

  • Diameter = 28cm

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 \large \mapsto \:  \:  \mathtt{ \dfrac{diameter}{2} } \\  \\  \\  \rightarrow \large  \:  \:  \mathtt{ radius = \frac{  \cancel{28} \: 14}{ \cancel2} = 14cm }

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☞︎︎︎ Circumference of circle = 2πr

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 \large \mapsto \mathtt{cir. \: of \: semi - circle } \\   \\    \large \mathtt{ \implies \:  \frac{ \cancel2\pi r}{ \cancel2} }  \\  \\ \large \boxed{ \mathtt{  = \pi r}}

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 \large \implies \mathtt{ \dfrac{22}{7}  \times 14} \\  \\  \\ \large \implies \mathtt{ \dfrac{22}{ \cancel7}  \times  \cancel{14} \:  \: 2} = 44

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Circumference = 44cm

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  • Total Perimeter of figure

= Perimeter of circle + Circumference of circle

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➪ Total Perimeter = 84cm + 44cm

  \\  \large \rm \boxed{ \rm \looparrowright \: toatl \:  \: perimeter = 128cm}

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