Question

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

Answer 1

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.

             $Area = \frac{1}{2}*4*8 + \frac{1}{2}*4*8=16+16=32$

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

             $Area = \frac{1}{2}*4*10 + \frac{1}{2}*4*10=20+20=40$

• square with side lengths of 4 in

             $Area = 4 * 4=16$

Total Area: 32 + 40 + 16 = 88 in²

Answer: 88 in²

Hope that helps!