A rectangular garden has vegetables planted in 33 ft by 18 ft area .The vegetables are surrounded by 2 ft borders of flowers .Nu what percent the area for planting vegetables increased if 2 ft borders is removed?
total area with border: (33+4)(18+4) = 814
garden area: 33*18 = 594
actual increase: 814-594 = 220
% increase: 220/594 = 0.37 = 37%
To calculate the percentage increase in the area for planting vegetables when the 2 ft borders are removed, follow these steps:
1. Calculate the total area of the garden with borders:
Total area = (Length + 2 * border width) * (Width + 2 * border width)
Total area = (33 ft + 2 * 2 ft) * (18 ft + 2 * 2 ft)
Total area = (33 ft + 4 ft) * (18 ft + 4 ft)
Total area = 37 ft * 22 ft
Total area = 814 ft²
2. Calculate the area of just the vegetable planting area (without borders):
Vegetable area = Length * Width
Vegetable area = 33 ft * 18 ft
Vegetable area = 594 ft²
3. Calculate the increase in area when the borders are removed:
Area increase = Total area - Vegetable area
Area increase = 814 ft² - 594 ft²
Area increase = 220 ft²
4. Calculate the percentage increase in area:
Percentage increase = (Area increase / Vegetable area) * 100
Percentage increase = (220 ft² / 594 ft²) * 100
Percentage increase ≈ 37.04%
Therefore, the area for planting vegetables will increase by approximately 37.04% when the 2 ft borders are removed.
To calculate the increase in the area for planting vegetables when the 2 ft borders are removed, we need to find the area of the rectangular garden with the borders and then subtract the area of the rectangular garden without the borders.
1. Calculate the area of the rectangular garden with the borders:
Area with borders = Length * Width
Area with borders = 35 ft * 20 ft (to account for the 2 ft borders on each side)
Area with borders = 700 sq ft
2. Calculate the area of the rectangular garden without the borders:
Area without borders = (Length - 4 ft) * (Width - 4 ft) (subtracting 2 ft from each side)
Area without borders = 31 ft * 16 ft
Area without borders = 496 sq ft
3. Calculate the increase in area:
Increase in area = Area with borders - Area without borders
Increase in area = 700 sq ft - 496 sq ft
Increase in area = 204 sq ft
4. Calculate the percentage increase in area:
Percentage increase = (Increase in area / Area without borders) * 100
Percentage increase = (204 sq ft / 496 sq ft) * 100
Percentage increase ≈ 41.13%
So, the area for planting vegetables would increase by approximately 41.13% if the 2 ft borders were removed.