Respuesta :

Rest side of rectangle

  • √8²-5²
  • √64-25
  • √39
  • 6.2

Now

Area of whole rectangle

  • LB
  • 5(6.2)
  • 31cm²

Area of shaded rectangle

  • 4(3)
  • 12cm²

Area of unshaded region

  • 31-12
  • 19cm²

Answer:

See below

Step-by-step explanation:

Please do not delete my answer again.....it is correct...or the figure is INcorrect !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

One more time :          (assuming right angles at all corners)

 the UNlabelled side of the larger rectangle CANNOT BE 5 cm!

   it has a diagonal of 8 cm !  

    use pythagorean theoem

        8^2 = 5^2 + s^2    shows s = sqrt (39)

   then area of the outside rectangle is  5 sqrt(39)  cm^2

      ( see attached diagram)

Shaded area is    4 x 3 =12 cm^2

UN shaded is   5 sqrt (39) - 12    cm^2 = 19.22 cm^2

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