What is the approximate area of Laura’s yard?

To find the area of an irregular shape (in general)
⇒ is best to split it into different regular shapes
⇒ (in this case), let's split into a half-circle and a square
Area of the half-circle:
⇒ half the area of a circle ([tex]\pi r^2[/tex])
⇒ Area of half-circle = [tex]\frac{1}{2}\pi r^2[/tex]
Area of Half Circle = [tex]\frac{1}{2}\pi (8.5)^2 = 113.5m^2[/tex]
Area of square
⇒ length * width
⇒ Area of Square = 17 * 17 = 289[tex]m^2[/tex]
Total Area = 113.5 + 289 = 402.5 ≈ 402[tex]m^2[/tex]
Hope that helps!