What is the approximate area of Laura’s yard?

Question

asked Jul 4, 2023 169k views

1 Answer

Mark McGookin · Answer 1 · 2023-07-09T12:56:05+0000

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 (
$\pi r^2$ )

⇒ Area of half-circle =
$(1)/(2)\pi r^2$

Area of Half Circle =
$(1)/(2)\pi (8.5)^2 = 113.5m^2$

Area of square

⇒ length * width

⇒ Area of Square = 17 * 17 = 289
m^2

Total Area = 113.5 + 289 = 402.5 ≈ 402
m^2

Hope that helps!