Question

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

Answer 1

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

Answer 2

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

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

_________________________________________

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

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

_________________________________________

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

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

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

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

_________________________________________

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

$\rm{Perimeter \ of \ the \ figure}$

_________________________________________

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

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

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

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

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

$\rm{Now, }$

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

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

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

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

$\rm{Now,}$

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

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

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

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

$\rm\longrightarrow{4028 cm }$

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

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

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

$\rm\longrightarrow{21.98cm }$

$\rm{Here, }$

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

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

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

$\rm\longrightarrow{43.96 \ cm}$

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

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

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

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

$\rm\implies{4071.96 \ cm}$

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

_________________________________________

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