SOLUTION: Dave wants to have a circular garden in his backyard. The garden will have a border using curved bricks. Each brick has a curved inside length of 6 inches,and Dave will need exactl

Question 1037701: Dave wants to have a circular garden in his backyard. The garden will have a border using curved bricks. Each brick has a curved inside length of 6 inches,and Dave will need exactly 50 bricks to complete this task. He will then fill the garden with soil from bags of dirt. Each bag will cover 10 square feet. How many bags of soil will Dave need to completely fill the garden? Explain how you solved the problem.
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The garden's border is inches in circumference.

r, for radius;

-
AREA of garden, square inches

How many bags?

bags.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If each brick accounts for 6 inches of the circumference of the garden and there are 50 bricks, then the circumference of the garden is 50 times 6 in inches. However, since the coverage of a bag of dirt is given in square feet, it will be more convenient to note that 6 inches is one-half of a foot, and then the circumference, in feet, will be 50 times 1/2 feet.

Once you know the circumference, then you can calculate the radius using:

And then you can calculate the area of the garden

Which simplifies to:

Once you know the area, presuming you used feet as the circumference measurement unit, just divide by 10 and round UP to the nearest whole number. You round up because most garden supply places won't sell you fractional parts of a bag of dirt.

John

My calculator said it, I believe it, that settles it

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