Math, asked by saniya512, 9 months ago

Find the perimeter of a given figure.
ro
20A
14cm​

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Answers

Answered by GalacticCluster
10

Given:-

breadth of rectangle :- 14cm

length of rectangle :- 20m = 2000cm

diameter of semi circle :- 14cm

Find :-

perimeter

Now,

we calculate radius,

r = d/2 = 14/2 = 7cm

A/q,

1) perimeter of rectangle = 2(l + b)

= 2(2000+14)

= 2× 2014

= 4028 cm

2) perimeter of semicircle = πr

=>3.14 × 7

=> 21.98cm

Here,

we have two semicircle

so,

perimeter of both semicircle => 2 × 21.98

=> 43.96cm

=>total perimeter of given figure = perimeter of both semicircle+ perimeter of rectangle

=> 43.96+ 4028 cm

=> 4071.96 cm

Answered by TheSentinel
48

\purple{\underline{\underline{\pink{\boxed{\boxed{\red{\star{\sf Question:}}}}}}}} \\ \\

\rm{Find \  the \ perimeter \ of  \ given \ figure.}

_________________________________________

\purple{\underline{\underline{\orange{\boxed{\boxed{\green{\star{\sf Answer:}}}}}}}} \\ \\

\rm{\red{\boxed{\star{\blue{ Perimeter \ of \ given \ figure \ : \ 4071.96 \  cm}}}}} \\

_________________________________________

\sf\large\underline\pink{Given:} \\ \\

\rm{Breadth \ of \ rectangle \ = \  14 \ cm} \\

\rm{Length \  of \ rectangle \ = \  20m } \\

\rm{Diameter \  of \  semi \ circle \  14 \ cm} \\

_________________________________________

\sf\large\underline\blue{To \ Find} \\ \\

\rm{Perimeter \ of \ the \ figure}

_________________________________________

\green{\underline{\underline{\red{\boxed{\boxed{\purple{\star{\sf Solution:}}}}}}}} \\ \\

\rm{We \ are \ given,} \\ \\

\rm{Breadth \ of \ rectangle \ = \  14 \ cm} \\

\rm{Length \  of \ rectangle \ = \  20m \ = \ 2000 \ cm } \\

\rm{Diameter \  of \  semi \ circle \  14 \ cm} \\

\rm{Now, } \\ \\

\rm{we \  calculate \ radius, } \\

\rm{Radius \ \implies \ \frac{Diameter}{2}} \\

\rm{r \ \implies \ \frac{14}{2}}

\rm\therefore{\green{\boxed{\orange{</p><p>r \ \implies \ 7 \ cm}}}}

\rm{Now,}

\rm{a) \ perimeter \  of \ rectangle } \\ \\

\rm\longrightarrow{2(l + b) } \\ \\

\rm\longrightarrow{2(2000+14) } \\ \\

\rm\longrightarrow{2 \times 2014 } \\ \\

\rm\longrightarrow{4028 cm } \\ \\

\rm{b) \ perimeter \  of \ semicircle } \\ \\

\rm\longrightarrow{\pi \times r } \\ \\

\rm\longrightarrow{3.14 \times 7} \\ \\

\rm\longrightarrow{21.98cm } \\ \\

\rm{Here, } \\

\rm{we \  have \  two \ semicircle} \\

\rm\therefore{perimeter \ of \ both \  semicircle} \\ \\

\rm\longrightarrow{2 \times 21.98} \\ \\

\rm\longrightarrow{43.96 \ cm} \\ \\

\rm\therefore{Total \  perimeter \ of \  given \ figure}

\rm\implies{ perimeter \ of \ both \ semicircle}

\rm{                                + \ perimeter \  of \  rectangle } \\ \\

\rm\implies{43.96+ 4028  \ cm} \\ \\

\rm\implies{4071.96 \  cm} \\ \\

\rm{\red{\boxed{\star{\blue{ Perimeter \ of \ given \ figure \ : \ 4071.96 \  cm}}}}} \\

_________________________________________

\tt\orange{Hope \ it \ Helps \ :))}

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