Answer:
The area of the yard = 402.5m²
Step-by-step explanation:
The yard is in the shape of a square and a half-circle.
Area of the yard = Area of the square shape + Area of the half-circle
The length of the square, l = 17m
Area of the square, A = l²
A = 17²
A = 289 m²
The area of the square shape = 289m²
The diameter of the half-circle, d = 17m
The radius of the half-circle, r = d/2
r = 17/2
r = 8.5 m
Area of the half-circle = 0.5πr²
Area of the half-circle = 0.5(3.142)(8.5)²
Area of the half-circle = 0.5(227)m²
Area of the half-circle =113.5m²
The area of the yard = Area of the square shape + Area of the half-circle
The area of the yard = 289m² + 113.5m²
The area of the yard = 402.5m²