Answer:
Total area = 16.283 ft² (nearest hundredth)
Step-by-step explanation:
Area of a rectangle = width × length
⇒ area = 5/16 × 1/2 = 5/32 in²
Area of a semicircle = 1/2 πr² (where r is the radius)
Radius = 1/2 diameter
⇒ r = 1/2 × 1/2 = 1/4
⇒ area = 1/2 × π × (1/4)² = π/32 in²
Total area = area of rectangle + area of semicircle
= 5/32 + π/32
= 0.2544247704 in²
Scale 1 in = 8 ft
⇒ 1² in² = 8² ft²
⇒ 1 in² = 64 ft²
⇒ Total area = 0.2544247704 × 64 = 16.28 ft² (nearest hundredth)
