Question

8.
The distance around a rectangular field is 400 meters. The length of the field is 26 meters
more than the breadth. Calculate the length and breadth of the field​

Answer 1

Answer:

perimeter of the rectangular field=

2(length+breadth)

2(x+x+26)=400

2x+26= 200

2x= 174

x = 87

breadth = 87m

length=87+26=113m

MARK ME AS BRAINLIEST

Answer 2

☯ Given distance around the Rectanglular field is perimeter of field i.e. 400 meters.

☯ Length of Rectanglular field is 26 meters more than its breadth.

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Let's Breadth of Rectanglular field be x

Therefore, Length of field is (26 + x)

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⋆ Reference of image is shown in diagram

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.4mm}\put(7.7,3){\large\sf{A}}\put(7.5,2){\sf{\large{x}}}\put(7.7,1){\large\sf{B}}\put(9.3,0.7){\sf{\large{(26 + x)}}}\put(11.1,1){\large\sf{C}}\put(11.1,3){\large\sf{D}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

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$\dag\;{\underline{\frak{We\;know\;that\;:}}}$

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$\star\;{\boxed{\sf{\purple{Perimeter_{\;(Rectangle)} = 2(l + b)}}}}$

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$\dag\;{\underline{\frak{Now,\;Putting\;values\;:}}}$

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$:\implies\sf 2[x + (26 + x)] = 400$

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$:\implies\sf 2[26 + 2x] = 400$

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$:\implies\sf 26 + 2x = \dfrac{400}{2}$

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$:\implies\sf 26 + 2x = \cancel{ \dfrac{400}{2}}$

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$:\implies\sf 26 + 2x = 200$

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$:\implies\sf 2x = 200 - 26$

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$:\implies\sf 2x = 174$

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$:\implies\sf x = \dfrac{174}{2}$

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$:\implies\sf x = \cancel{ \dfrac{174}{2}}$

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$:\implies{\underline{\boxed{\sf{\purple{x = 87}}}}}\;\bigstar$

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☯ Therefore, Dimensions of Rectanglular field is,

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• Breadth of Rectanglular field is, x = 87 m
• Length of Rectanglular field is, (26 + x) = 26 + 87 = 113 m