Linda is planting pink tulips in a rectangular flower bed that is 2 feet longer than it is wide. She plans to surround the tulips with a border of daffodils that is 2 feet wide. If the total area of the garden is 224 square feet and she plants 36 daffodils per square foot, how many daffodils does she need?
Answer (3)
So the tulip garden is 16x14. Add the 2ft from the daffodils all the way around and your total sq ft equals 288. Now, subtract the total-the tulips (288-224) and get 64 sq ft for the daffodil border. 64x36 = 2304 daffodils in the entire border
To solve this problem you need to calculate the area of the flower bed and the entire garden separately, then subtract the former from the latter to get the area for daffodils. With the statement that 36 daffodils can be planted per square foot, we can conclude that Linda needs 3744 daffodils.
This is a problem related to area calculations and basic arithmetic . If we denote the width of the flower bed with tulips as 'x' (in feet), then its length would be 'x+2'. Given that the total area of the entire garden, including the daffodil border, is 224 square feet, the area of the garden can be represented as (x+4) * (x+2) = 224, where the +4 and +2 account for the 2 feet wide daffodil border on each side of the length and width respectively. Solving this equation gives x=10, which means the flower bed is 10 feet wide and 12 feet long. The area for daffodils to be planted then would be 224-(10 * 12) = 104 square feet. Given that 36 daffodils are planted per square foot, Linda needs 36 * 104 = 3744 daffodils.
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Linda needs 3744 daffodils for her garden, which consists of a flower bed for tulips surrounded by a daffodil border. After calculating the area of both the flower bed and the entire garden, we find the area for daffodils and multiply it by the number of daffodils per square foot. The calculations lead us to the final answer of 3744 daffodils required.
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