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Jenna is planting four circular gardens. She is planting one garden each for tomatoes, carrots, cabbage, and strawberries. Each garden will have a fence around it to keep rabbits out. The tomato, carrot, and cabbage gardens will all be the same size. Since Jenna loves strawberries, the strawberry garden will be larger. It will use the same amount of fencing as the other three gardens combined. She used a total of about 113.04 feet of fencing material
What are the areas for all three help!

Respuesta :

HarborMaster
tomato plus carrot plus cabbage plus (3 * carrot) = 113.04 feet

1x+1x+1x+3 x= 113.04
6 x = 113.04
x = 113.04 / 6 = 18.84 feet of fence = circumference 

The circumference of the tomato, carrot and  cabbage gardens is  18.84 feet each. the circumference of the strawberry garden will be 3 times larger or 3 x 18.84 = 56.52 feet.

With the circumference we can find the diameters, and with the diameters we can find the areas.

For the 3 small gardens, d = c/π
d=18.84 / 3.14
d=6  and the radius is 3 feet
Area = πr²
A = 3.14 x 3 x 3 = 28.26 square feet in each of the 3 small gardens


For the larger garden
d=6x3 = 18 feet and the radius is 9 feet
Area = πr²
A = 3.14 x 9 x 9 = 254.34 square feet in the larger garden
 

Answer:

So, the area of each smaller garden is 28.26 square feet.

So, the area of the larger garden is 254.34 square feet.

So, the area of the larger garden is 9 times larger than the area of the smaller garden.

Step-by-step explanation:

Answers

  1. 28.2
  2. 24.34
  3. 9

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