Answer:
35 m²
Step-by-step explanation:
Given:
- length of each side of the square compost heap = 1.2 m
- ratio of compost heap side length to hedge length = 2 : 11
⇒ length of hedge = (1.2 ÷ 2) x 11 = 6.6 m
Given:
- length of gate = 2m
- length of gate is 1/4 length of pond
⇒ length of pond = 2 x 4 = 8m
Given:
- area of pond = 28 m²
- length of pond = 8 m (from previous calculation)
⇒ width of pond = 28 ÷ 8 = 3.5 m
⇒ perimeter of pond = 2 x 8 + 2 x 3.5 = 23 m
Given:
- length of pond = 8 m
- length of gate = 2 m
⇒ length of flowerbed = 8 + 2 = 10 m
Given:
- length of flowerbed = 10 m
- perimeter of flowerbed = perimeter of pong = 23 m
⇒ width of flowerbed = [23 - (2 x 10) ] ÷ 2 = 1.5 m
Area of grass = (length of gate x width of pond) + (length of flowerbed x [length of hedge + length of compost heap - width of flowerbed - width of pond])
= (2 x 3.5) + (10 x [6.6 + 1.2 - 1.5 - 3.5])
= 7 + (10 x 2.8)
= 35 m²
