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Can y’all help find the surface area please and thank you

Can Yall Help Find The Surface Area Please And Thank You class=

Sagot :

To find the area of a complex shape:

 ⇒ must cut the whole shape into a simpler shape

  • square with side lengths of 4 in
  • 2 triangles with a base of 4 in. and a height of 8 in.
  • 2 triangles with a base of 4 in. and a height of 10 in.

Let's calculate:

  • Area of 2 triangles with a base of 4 in. and a height of 8 in.

             [tex]Area = \frac{1}{2}*4*8 + \frac{1}{2}*4*8=16+16=32\\[/tex]

  • 2 triangles with a base of 4 in. and a height of 10 in.

             [tex]Area = \frac{1}{2}*4*10 + \frac{1}{2}*4*10=20+20=40[/tex]

  • square with side lengths of 4 in

             [tex]Area = 4 * 4=16[/tex]

Total Area: 32 + 40 + 16 = 88 in²

Answer: 88 in²

Hope that helps!