Question

Find the perimeter of a rectangular field whose length is 352 cm and which has an area equal to 30976 cmsquare

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Answer 1

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$\Huge\bigstar\:\tt\underline\red{GIVEN}$

• $\large\sf\purple{Length\: =\: 352 \:cm}$
• $\large\sf\green{Area \:=\: 30,976 \:cm^{2}}$

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$\Huge\bigstar\:\tt\underline\red{TO\:FIND}$

• $\large\sf\gray{Perimeter \:of \:the\: rectangular\: field}$

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$\Huge\bigstar\:\tt\underline\red{SOLUTION}$

$\star\:\sf\underline\pink{Refer\:The\: Diagram}\::$

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7,2){\texttt{\large{Breadth\:\:}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\texttt{\large{352 cm}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

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$\longrightarrow \: \sf \purple {Area \:of \: Field \:=\: Length\:×\: Breadth}$

$\longrightarrow \:\sf\green{ 30976 \:cm^{2} \:=\: 352 \:cm \:×\: Breadth}$

$\longrightarrow\: \sf\purple{\ \dfrac{30976 \:{cm}^{2}}{352} = Breadth}$

$\longrightarrow\:\blue{\sf Breadth = 88 \:cm}$

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$\longrightarrow \: \sf \purple {Perimeter \:=\:2\:×\:(Length\:+\: Breadth)}$

$\longrightarrow \: \sf \green {Perimeter \:=\:2\:×\:(352cm \:+ \:88 cm)}$

$\longrightarrow \: \sf \purple {Perimeter\: =\: 2 \:×\: 440 cm}$

$\longrightarrow \: \sf\underline\orange{Perimeter\:=\:880cm}$

$\star\:\:\sf\underline\pink{Perimeter\:of\:rectangular\:field\:is\:880cm}$

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Answer 2

$\large\bf\underline{Given:-}$

★ Length of Rectangle = 352 Cm

★ Area of Rectangle = 30976 Cm²

$\large\bf\underline{To\:find:-}$

★ Perimeter of the Rectangle .

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$\large\bf\underline{Solution:-}$

★ Area of Rectangle = Length × Breadth

$30976 = 352 \times b \\ b \: = \frac{30756}{352} \\ b = 88 \:cm$

★ Peremiter of Rectangle = 2 (Length + Breadth)

★ Length of Rectangle = 352 cm

★ Breadth of Rectangle = 88 cm

$= 2(352 + 88) \\ = 2(440) \\ = 880cm$

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$\large\bf\underline{Answer:-}$

★ Peremiter of Rectangle = 880 Cm