Question

Help me with this please!!​

Answer 1

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