Question

Today's question


An athlete takes 10 rounds of a triangular park of side 10 m,12 m and 16 m.Find the total distance covered by him.

option

• 380 m

• 280 m

• 300 m

itz Daisy ✌
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Answer 1

Given :

• 1st Side of field = 10 m
• 2nd Side of field = 12 m
• 3rd Side of field = 16 m
• No. of Rounds = 10

To Find :

• Distance Covered = ?

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN :

$\dag$ Formula Used :

• Perimeter (Triangle) = a + b + c

$\dag$ Calculating the Distance Covered :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Distance \; Covered = Perimeter \times No. \; of \; Rounds } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Distance \; Covered = \bigg( a + b + c \bigg) \times No. \; of \; Rounds } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Distance \; Covered = \bigg( 16 + 12 + 10 \bigg) \times 10 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Distance \; Covered = 38 \times 10 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\purple{\sf { Distance \; Covered = 380 \; m }}}}}} \; \bigstar \\ \\ \\ \end{gathered}$

$\therefore \;$ Distance Covered by the athelete is 380 m .

$\\ \qquad{\rule{200pt}{2pt}}$

Answer 2

Given:-

• A triangular park of dimensions.
• 1st side = 10m
• 2nd side= 12m
• 3rd side = 16m
• A athlete takes 10 rounds.

To find:-

• Total distance covered by him.

Formula used:-

$\small \blue{\underline{ \green{ \boxed{\bf{ \red{Perimeter \: of \: triangle = Sum \: of \: all \: sides}}}}}}$

Solution:-

We know that when a triangle have the different sides it's perimeter is sum of all sides. We can simply put the values in the formula for the distance of one round. Then we will multiply it with 10 to get the total distance.

$\small\underline{\bf{ \implies10m + 12m + 16 m= perimeter_{triangle}}}$

$\small\underline{\bf{ \implies38m = perimeter_{triangle} }}$

Now we can multiply it with 10 to get the final result.

$\small\underline{\bf{ \implies38m \times 10 = Total \: distance}}$

$\large \blue{\underline{ \pink{ \boxed{\bf{ \red{ \implies380m}}}}}}$

Hence,the total distance covered by the athelete is (380 m) .