Determine Area of Irregular Shapes

Determine the Area of the below shape by breaking it into simpler shapes.










Step 1) Break in simpler shapes and number the shapes.

Step 2) Determine the area of the smaller shapes.

  1.  2\times 2=4\ in^{2}
  2.  \frac{1}{2}\times 3\times 1=1.5\ in^{2}
  3.  \frac{1}{2}\times\pi\times 2^{2}=2\pi\ in^{2}
  4.  5\times 4=20\ in^{2}

Step 3) Add up all small areas.

4+1.5+2\pi+20=31.78\ in^{2}