Question

Q8) The perimeter of a rectangular field is 240 m. If its length is 90 m, find:
(i) it's breadth
(ii) it's area.​

Answer 1

Given: Length of the rectangular field & perimeter of field is 240m.

Need to find: Breadth & Area.

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❍ Let's consider length and breadth of the rectangular field as l & b.

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As we know that,

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$\begin{gathered}\star\:{\underline{\boxed{\frak{Perimeter_{\:(rectangle)} = 2(Length \times Breadth)}}}}\\\\\\ \bf{\dag}\:{\underline{\frak{Putting\:given\:values\:in\:formula,}}} \\\\\\ :\implies\sf 2(90 + b) = 240 \\\\\\ :\implies\sf (90 + b) = \cancel{\dfrac{240}{2}}\\\\\\ :\implies\sf 90 + b = 120\\\\\\ :\implies\sf b = 120 - 90 \\\\\\ :\implies{\underline{\boxed{\frak{\purple{b = 30m}}}}}\:\bigstar\\\\\end{gathered}$

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Now Area,

$\begin{gathered}\star\:{\underline{\boxed{\frak{Area_{\:(rectangle)} = Length \times Breadth}}}}\\\\\\ \bf{\dag}\:{\underline{\frak{Putting\:given\:values\:in\:formula,}}}\\\\\\ :\implies\sf 90 \times 30 \\\\\\ :\implies\sf 2700 \\\\\\ :\implies{\underline{\boxed{\frak{\purple{Area = 2700 {m}^{2} }}}}}\:\bigstar\\\\\end{gathered}$

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Therefore,

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Breadth of rectangular field, b = 30m

Area of rectangular park, 2700m²

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$\therefore\:{\underline{\sf{Hence,\: Breadth \:of \: the \: rectangle \: field \: \bf{30 \: m }\: \sf{and \: area}\: \bf{2700m^2}\: \sf{respectively}.}}}$

Answer 2

Answer:

(1) Breadth = 30 m

(2) Area = 2,700 m