Math, asked by kritikaharshita10127, 6 hours ago

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Answered by Alana2468
1

Answer:

160 steps

Step-by-step explanation:

Sides of triangular garden  = 35 m , 25 m , 20 m

Perimeter of garden = Sum of all    = 35+25+20  = 80 m

1 m = 100 cm

So, 80 m = 8000 cm

50 cm = 1 step

1 cm = \frac{1}{50}  step

So, 8000 cm =  \frac{8000}{50}  steps

                   = 160 steps

                               

Answered by Anonymous
40

Answer:

Question :

↝ Rekha runs along the sides of a triangular Garden whose sides are 35 m, 25 m and 20 m. If she covers 50 cm in one step, how many steps will take to run once round in the garden?

\begin{gathered}\end{gathered}

Given :

  • ➠ Side of triangular garden = 35 m, 25 m and 20 m.
  • ➠ Rekha cover 50 cm in one step.

\begin{gathered}\end{gathered}

To Find :

  • ➠ How many steps will take to run once round in the garden?

\begin{gathered}\end{gathered}

Using Formulas :

{\longrightarrow{\small{\underline{\boxed{\sf{Perimeter \:  of  \: triangle = Sum  \: of  \: all \:  sides}}}}}}

{\longrightarrow{\small{\underline{\boxed{\sf{1 \:  m = 100 \:  cm}}}}}}

\begin{gathered}\end{gathered}

Solution :

☼ Finding the perimeter of triangular garden :-

{\dashrightarrow{\sf{Perimeter_{(Triangle)} = Sum  \: of  \: all \:  sides}}}

{\dashrightarrow{\sf{Perimeter_{(Triangle)} = 35 \: m + 25 \: m + 20 \: m}}}

{\dashrightarrow{\sf{Perimeter_{(Triangle)} = 80\: m}}}

{\bigstar \: {\underline{\boxed{\sf{\red{Perimeter \: of \: triangle = 80\: m}}}}}}

∴ The perimeter of triangular garden is 80 m.

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☼ Now converting the 80 m into cm :-

{\dashrightarrow{\sf{1 \:  m = 100 \:  cm}}}

{\dashrightarrow{\sf{80 \:  m = 80 \times 100}}}

{\dashrightarrow{\sf{80 \:  m = 8000 \: cm}}}

{\bigstar \: {\underline{\boxed{\sf{\red{80 \: m = 8000 \: cm}}}}}}

80 m = 8000 cm.

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☼ Now, finding the number of steps will take to run once round in the garden :-

{\dashrightarrow{\sf{50  \: cm = 1 \:  step}}}

{\dashrightarrow{\sf{1\: cm =  \dfrac{1}{50}\:  step}}}

{\dashrightarrow{\sf{8000\: cm =  \dfrac{1}{50} \times 8000}}}

{\dashrightarrow{\sf{8000\: cm =  \dfrac{8000}{50}}}}

{\dashrightarrow{\sf{8000\: cm =  \cancel{\dfrac{8000}{50}}}}}

{\dashrightarrow{\sf{8000\: cm = 160 \: step}}}

{\bigstar \: {\underline{\boxed{\sf{\red{8000\: cm = 160 \: step}}}}}}

∴ The 160 steps will take to run once round in the garden.

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Learn More :

\begin{gathered}\begin{gathered}\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}\end{gathered}\end{gathered}

\underline{\rule{220pt}{2.5pt}}

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