Question

length and breadth of a rectangular field are in the ratio 5:4 if the breadth of the field is 36 what is its length ​

Answer 1

Given that,

• Length and Breadth of a rectangular field are in the ratio of 5:4.

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☯ Let the Length and Breadth of the rectangular field be 5x and 4x.

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⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀

$\qquad\qquad\boxed{\underline{\pink{\bigstar \: \bf\: According \ to \ the \ Question \ :}}}$

• The Breadth of the rectangular field is 36 m.

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Therefore,

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$:\implies\sf 4x = 36 \\\\\\:\implies\sf x = \cancel\dfrac{36}{4} \\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 9}}}}}\:\bigstar$

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Hence,

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• Length of rectangular field is 5x, 5(9) = 45 m.

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$\therefore\:{\underline{\sf{Hence,\: Length \ of \ the \ rectangular \ field \ is \ {\textsf{\textbf{45 m}}}.}}}$

Answer 2

Answer:

Given :-

• Length and breadth of a rectangle are in ratio 5:4
• Breadth is 36 m

To Find :-

Length

Solution :-

Let the ratio be 5x and 4x

$\sf \implies \: 4x = 36$

$\sf \implies \: x = \dfrac{ \cancel{36}}{ \cancel4}$

${\boxed {\red{\frak{x = 9}}}}$

Now,

Finding length

$\sf \implies \: Length \: = 5x$

$\sf \implies \: Length = 5(9)$

${\boxed {\red{\frak{Length \: = 45 \: m}}}}$

Hence :-

Length of field is 45 m

Diagram :-

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 45 m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 36 m}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$