Respuesta :

salatulmaghrib
2(4x+4) + 2x = 58
8x+8+2x=58
10x=50
x=5

Area = x(4x+4) = 5(20+4) = 5*24=120

Given :

  • Length = 4x+4
  • Breadth = x

To find :

  • area of rectangle

Formula used :

  • Perimeter = 2(l+b)

MethoD

[tex] \bold{peremeter \: = \: 58cm} \\ [/tex]

[tex] \bold{2(l + b) = 58cm}[/tex]

[tex]2 \{(4x + 4) + (x) \} \: = 58cm[/tex]

[tex]8x + 8 + 2x = 58[/tex]

[tex]10x + 8 = 58[/tex]

[tex]10x = 58 - 8[/tex]

[tex]10x = 50[/tex]

[tex]x = 5cm \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \bold \blue {\boxed{breadth \: = x = 5cm}}[/tex]

[tex] \bold \purple{ \boxed{length \: = \: 4x + 4 = (4 \times 5) + 4 = 20 + 4 = { \boxed{\boxed{20cm}}}}}[/tex]

Area = l×b sq.units

Area = 20cm×5cm

Area = 120cm²

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