Question

Calculate the area of a rectangular field whose length is 66 m and perimeter is 242 m.
(a)3630 sqm
(b)3360 sqm
(c)3560 sqm
(d)None of these​

Answer 1

Answer:

a) 3630 m²

Step-by-step explanation:

length = 66m ( given )

Perimeter of rectangle = 242. ( given )

2(l+b) = 242

l+b = 121

66 + b = 121

b= 55m

Area of rectangle = l× b

area = 66 × 55

= 3630 m²

Answer 2

Given: Length of the rectangular field is 66 m and the perimeter is 242 m.

Need to find: Area of the rectangular field.

❒ Let Breadth of the rectangular field be x m.

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$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$⠀⠀⠀⠀

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$\star\;\boxed{\sf{\pink{Perimeter_{\:(rectangle)} = 2(Length + Breadth)}}}$

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$:\implies\sf 2(Length + Breadth) = 242 \\\\\\:\implies\sf 2(66 + x) = 242 \\\\\\:\implies\sf 132 + 2x = 242 \\\\\\:\implies\sf 2x = 242 - 132 \\\\\\:\implies\sf 2x = 110 \\\\\\:\implies\sf x = \cancel\dfrac{110}{2} \\\\\\:\implies{\underline{\boxed{\frak{\pink{x = 55\:m}}}}}$

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$\therefore{\underline{\sf{Hence, \: Length\; of \: the \: rectangular\; field\; is\;\bf{55\;m }.}}}$

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$\underline{\bf{\dag} \:\mathfrak{By\; using\; formula\: :}}$⠀⠀⠀

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$\star\;\boxed{\sf{\purple{Area_{\:(rectangle)} = (Length \times Breadth)}}}$

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$:\implies\sf Area = Length \times Breadth \\\\\\:\implies\sf Area = 66 \times 55 \\\\\\:\implies{\underline{\boxed{\frak{\purple{Area = 3630\: m^2}}}}}\:\bigstar$

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$\therefore{\underline{\sf{Hence, \: Area \; of \: the \; rectangular\; field \; is\:\bf{Option\:a)\; 3630\; m^2 }.}}}$