The length of A rectangular field is twice it's breadth. A man jogged

1.	The length of A rectangular field is twice it's breadth. A man jogged around it 5times and covered A distance of 3km. what is the length of field
Answer» AnswEr : Let the BREADTH be x metres and, Length be 2x metres of Rectangluar Field. ⋆ Refrence of Image is in the DIAGRAM : $\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.3,2){\mathsf{\large{x m}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\matsf{\large{2x m}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$ $\rule{150}{1}$ $\underline{\bigstar\:\textsf{According to the Question Now :}}$ $:\implies\tt Distance\:Covered = Perimeter \times Times\: of\:Field\\\\\\:\implies\tt 3 \:Km = 2(Length + Breadth) \times 5\\\\\\:\implies\tt (3 \times 1000) \: m = 2(2x + x) \times 5\\\\\\:\implies\tt 3000 = 2(3x) \times 5\\\\\\:\implies\tt 3000= 6x \times5\\\\\\:\implies\tt 3000= 30x\\\\\\:\implies\tt \dfrac{3000}{30}=x\\\\\\:\implies\tt x = 100 \:m$ $\rule{200}{2}$ $\underline{\bigstar\:\textsf{Length of Rectangluar Field :}}$ $\longrightarrow\tt Length = 2x\\\\\\\longrightarrow\tt Length =2(100 \:m)\\\\\\\longrightarrow\boxed{\tt Length =200 \:m}$ ⠀ $\therefore\:\underline{\textsf{Length of Rectangluar Field is \textbf{200 m.}}}$

The length of A rectangular field is twice it's breadth. A man jogged around it 5times and covered A distance of 3km. what is the length of field

Answer»

AnswEr :

Let the BREADTH be x metres and, Length be 2x metres of Rectangluar Field.

⋆ Refrence of Image is in the DIAGRAM :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.3,2){\mathsf{\large{x m}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\matsf{\large{2x m}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

$\rule{150}{1}$

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

$:\implies\tt Distance\:Covered = Perimeter \times Times\: of\:Field\\\\\\:\implies\tt 3 \:Km = 2(Length + Breadth) \times 5\\\\\\:\implies\tt (3 \times 1000) \: m = 2(2x + x) \times 5\\\\\\:\implies\tt 3000 = 2(3x) \times 5\\\\\\:\implies\tt 3000= 6x \times5\\\\\\:\implies\tt 3000= 30x\\\\\\:\implies\tt \dfrac{3000}{30}=x\\\\\\:\implies\tt x = 100 \:m$

$\rule{200}{2}$

$\underline{\bigstar\:\textsf{Length of Rectangluar Field :}}$

$\longrightarrow\tt Length = 2x\\\\\\\longrightarrow\tt Length =2(100 \:m)\\\\\\\longrightarrow\boxed{\tt Length =200 \:m}$

⠀

$\therefore\:\underline{\textsf{Length of Rectangluar Field is \textbf{200 m.}}}$