Question

What are the steps you would take to find the area of the shaded region? Check all that apply.

Identify the shapes you will need to determine the area of the figure.
Calculate and add the areas of the regular pentagon and two orange triangles.
Calculate and add the areas of the unshaded triangle and two circles.
Subtract the sum of the unshaded triangle and circles from the sum of the regular pentagon and two orange triangles.

Answer 1

All four apply.

Reason: first identify the component shapes. Then compute the area of the large pieces (regular pentagon + two orange triangles) and compute the area of the pieces to remove (unshaded triangle + two circles). Finally subtract the removed area from the larger-area sum to get the shaded area.