Respuesta :

Answer:

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Step-by-step explanation:

Hello!

The answers are:

For the first image: Total surface area is  [tex]880cm^{2}[/tex]

For the second image: Total surface area is [tex]465.6cm^{2}[/tex]

Why?

First Image

There are three rectangles to take into consideration for the total surface area calculation:

First rectangle,

[tex]Length=10cm+8cm+10cm+8cm=36cm\\Width=20cm\\ Area=36cm*20cm=720cm^{2}[/tex]

Second and third rectangles have equal dimensions,so:

[tex]Area=2(8cm*10cm)=160cm^{2}[/tex]

So, the total surface area will be

[tex]TotalArea=720cm^{2}+160cm^{2}=880cm^{2}[/tex]

Second Image

There is: a rectangle composed of three rectangles and 4 right triangles, so:

Rectangle,

[tex]Length=12cm+12cm+12cm=36cm\\Width=6cm\\Area=36cm*6cm=216cm^{2}[/tex]

Triangles,

[tex]Height=10.4cm\\Base=6cm\\Area=4(10.4cm*6cm)=4*62.4cm^{2}=249.6cm^{2}[/tex]

So, the total surface area will be:

[tex]TotalArea=RectangleArea+TrianglesArea=216cm^{2}+249.6cm^{2}\\TotalArea=465.6cm^{2}[/tex]

Have a nice day!