Mathematics

Question

The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the garden per square foot. Garden 3 feet 18 feet Fountain Which is closest to the number of flowers needed to plant in the garden?
A 71 flowers
B. 141 flowers
C 156 flowers
D 255 flowers
E 284 flowers ​
The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to plant groups of 2 flowers in the ga

1 Answer

  • Answer:  The answer is 284.

    Step-by-step explanation:

    The area of the garden is an annulus whose,  

    Outer diameter = 18 ft  

    Inner diameter = 18 ft - 2*3ft = 12 ft

    Therefore,  

    Outer radius = 18/2 = 9 ft  

    Inner radius = 12/2 = 6 ft  

     Area of garden = Area of annulus  

     Area of garden = π*(9 ft)2 - π * (6 ft)2

     Area of garden = 142  

     Given:  

    2 flowers are planted per square foot.  

     Therefore for 142 ft2,  

    Number of flowers required = 2*142 = 284  

     The answer is 284.

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