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!
