Question

the length of the breadth of the playground at 200 metre and 150 metre respectively if an athlete wants to run 7 kilometre how many times should he go around this field ​

Answer 1

AnswEr :

• Length = 200 m
• Breadth = 150 m
• Distance to Cover = 7 km = 7000 m

⋆ Refrence of Image is in the Diagram :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.2,2){\mathsf{\large{150 m}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\matsf{\large{200 m}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

$\rule{170}{2}$

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$:\implies\texttt{Distance Travelled = Perimeter \times No. of Times}\\\\\\:\implies\tt 7000 \: m = 2(Length + Breadth) \times n\\\\\\:\implies\tt 7000 \:m = 2(200 \:m + 150 \:m) \times n\\\\\\:\implies\tt 7000 \:m = 2(350 \:m) \times n\\\\\\:\implies\tt 7000 \:m = 700 \:m \times n\\\\\\:\implies\tt\dfrac{7000 \:m}{700 \:m} = n\\\\\\:\implies\boxed{ \blue{\tt No. \:of \:Times \:(n) = 10}}$

⠀

$\therefore\:\underline{\textsf{He Should go \textbf{10 rounds} to complete 7 km.}}$

Answer 2

Number of times should he go around this field 10

★ Given :-

Length of the playground = 200 m

Breadth of the playground = 150 m

$\rule{200}{2}$

★ To Find :-

We have to find that how many times should he go around this playground.

$\rule{200}{2}$

★ Solution :-

Firstly, we will find the perimeter of the playground.

-------------------------------------

Perimeter = 2(Length + Breadth)

-------------------------------------

(Putting Values)

→ Perimeter = 2(200 + 150)

→ Perimeter = 2(350)

→ Perimeter = 700 m

$\rule{200}{2}$

Now,

Distance covered = 7km = 7000 m

_________________

Let the number of times should he go around this field be x

7000 m = 700 m * x

7000/700 = x

x = 10

∴ Number of times should he go around this field 10.