Question

the area of a a rectangular field is 72 metre square find its breadth if the length is 9 M​

Answer 1

GivEn:

• Area of Rectanglular field = 72 m²
• Length of Rectangle = 9 m

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To find:

• Breadth of Rectanglular field?

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SoluTion:

☯ Let Breadth of Rectanglular field be b m.

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$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\tt\large{A}}\put(7.7,1){ \tt\large{B}}\put(9.5,0.7){\sf{\large{9 cm}}}\put(11.5,1){ \tt\large{C}}\put(8,1){\line(1,0){3.5}}\put(8,1){\line(0,2){2}}\put(11.5,1){\line(0,3){2}}\put(8,3){\line(3,0){3.5}}\put(11.7,2){\sf{\large{b}}}\put(9.5,2){\sf{\large{72 m ^2 }}}\put(11.5,3){ \tt\large{D}}\put(11.3,1){\line(0,2){0.2}}\put(11.3,1.2){\line(2,0){0.2}}\end{picture}$

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We know that,

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$\star\;{\boxed{\sf{\purple{Area{\;(rectangle)} = length \times breadth}}}}$

Putting values,

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$:\implies\sf 9 \times b = 72$

$:\implies\sf b = \cancel{ \dfrac{72}{9}}$

$:\implies{\boxed{\frak{\pink{b = 8\;m}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;breadth\;of\;rectanglular\; field\;is\; \bf{8\;m}.}}}$

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$\qquad\qquad\qquad\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}$

• Perimeter of Rectangle = 2(l + b)

• Area of Rectangle = l × b

• Area of square = a²

• Perimeter of square = 4 × a

Answer 2

$\large \green{ \fcolorbox{grey}{white}{ ☑ \: \textbf{Verified \: answer}}}$

Hence,breadth of rectanglular field is 8m.