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The perimeter of a rectangular field is 24 m. If its length is 9m, find (i) breadth (ii) area of the rectangle​

Answer :

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Answer:

breadth: 3 m and area of rectangle: 27 m²

explanation:

part A:

perimeter of rectangle: 2 ( length + breadth )

using the formula:

24 = 2 ( 9 + breadth )

9 + breadth = 12

breadth  = 3 m

part B:

area of the rectangle​ =  length * breadth

using the formula:

9 * 3

27 m²
  • Breadth be x

[tex]\\ \rm\hookrightarrow Perimeter=24[/tex]

[tex]\\ \rm\hookrightarrow 2(9+x)=24[/tex]

[tex]\\ \rm\hookrightarrow 9+x=12[/tex]

[tex]\\ \rm\hookrightarrow x=3[/tex]

Now

  • Area=Length×Breadth

[tex]\\ \rm\hookrightarrow Area=9(3)=27m^2[/tex]

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