Type the correct answer in each box. Round your answers to the nearest integer.

In the figure, the perimeter of hexagon ABCDEF is approximately units __, and its area is __ square units.

Type the correct answer in each box Round your answers to the nearest integer In the figure the perimeter of hexagon ABCDEF is approximately units and its area class=

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Answer:

(1) 92.92 unit  (2) 500 unit²

Step-by-step explanation:

(1) Perimeter of the given hexagon ABCDEF will be

   = Sum of length of all sides

   = AB + BC + CD + DE + EF + FA

   =[tex]10+(\sqrt{10^{2}+10^{2}})+\sqrt{10^{2}+10^{2}}+10+\sqrt{20^{2}+10^{2}}+\sqrt{20^{2} +10^{2} }[/tex]

   = [tex]20+10\sqrt{2} +10\sqrt{2}+10+10\sqrt{(2+1)}+10\sqrt{(2+1)}[/tex]

   = [tex](30+20\sqrt{2}+20\sqrt{3})[/tex]

   = 30 + 28.28 + 34.64

   = 92.92 unit

(2) Area of hexagon = Area of ΔAEF + Area of rectangle ABDE + Area of ΔBCD

   = [tex]\frac{1}{2} (20)(20)+(20)(10)+\frac{1}{2}(20)(10)[/tex]

   = 200 + 200 + 100

   = 500 unit²

Answer:

He is wrong about the 92.92 500 was correct

Step-by-step explanation: