Answer:
The total Perimeter of the pitch and seating area is 179.83 m an the Total Area is 1394 m²
Step-by-step explanation:
Figure is attached with required naming.
Length of the Rectangle 1 = 40 m
width of the Rectangle 2 = 2000 cm = 20 m
radius of semi circle 2 = [tex]\frac{2000}{2}=1000=10\,m[/tex]
radius of semi circle 3 = [tex]\frac{2000}{2}=1000=10\,m[/tex]
length of the rectangle 4 = 25 m
width of the rectangle 4 = 800 cm = 8 m
length of the rectangle 5 = 10 m
width of the rectangle 5 = 800 cm = 8 m
Total Perimeter of the pitch and seating area
= length of rectangle 1 + circumference of semi circle 2 + circumference of semi circle 3 + length of rectangle 4 + 2 × width of rectangle 4 + length of rectangle 5 + 2 × width of the rectangle 5 + (length of rectangle 1 - length of rectangle 4 - length of he rectangle 5)
= 40 + π(10) + π(10) + 25 + 2 × 8 + 10 + 2 × 8 + ( 45 - 25 -10 )
= 40 + π(10) + π(10) + 25 + 16 + 10 + 16 + 10
= 117 + 20π
= 179.83 m (approx.)
Total area of the pitch and seating area
= Area of the Rectangle 1 + Area of semi circle 2 + area of semi circle 3 + area of rectangle 4 + area of rectangle 5
= 40 × 20 + π(10)² + 25 × 8 + 10 × 8
= 800 + 100π + 200 + 80
= 1080 + 314
= 1394 m²
Therefore, The total Perimeter of the pitch and seating area is 179.83 m an the Total Area is 1394 m²
