Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden?
I might be wrong, but there’s not enough info to solve this. You know she needs 30 pounds per square foot, but how big is the garden in the first place?
Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...
8 ft * 19 ft = 152 sq. ft.
Now that we know the square footage, we calculate how much soil is needed. Since the question states that she needs 30 pounds of soil per square foot then we multiply the square footage of the garden by 30.
152 sq. ft. * 30lb = 4,560lb
Finally, we can see that Persephone will need 4,560 pounds of soil for her garden.
To find out how much soil Persephone needs to create her flower garden, we need to calculate the total area of the garden and then multiply it by the amount of soil needed per square foot.
Let's assume the dimensions of the flower garden are given in feet. Suppose the length of the garden is 'L' feet, and the width is 'W' feet.
The total area of the garden can be calculated by multiplying the length and width (A = L * W).
Now, according to the given information, Persephone needs 30 pounds of soil per square foot of the flower garden. Hence, the total amount of soil needed can be calculated by multiplying the area (in square feet) by 30 pounds (S = A * 30).
Using these steps, we can find the solution:
Step 1: Calculate the area of the garden.
A = L * W
Step 2: Multiply the area by 30 to find the amount of soil needed.
S = A * 30
Now that we have the solution, let's analyze the problem using math laws:
- The commutative property of multiplication allows us to multiply the length and width in any order: A = L * W = W * L. This property applies to Step 1.
- The distributive property of multiplication allows us to distribute 30 to both the length and width in Step 2: S = (L * W) * 30 = L * (W * 30).
- The associative property of multiplication allows us to group the multiplications in different ways. However, since we are only multiplying two values, it does not affect the solution in this case.
- The cancellation property states that if we multiply any number by 1, it remains unchanged. In this problem, there is no need for cancellation as we are not encountering any fractions.
- The verification step is not necessary for this problem because it is a straightforward calculation.
- There are no expressions to simplify or factor, so these math laws don't apply in this particular problem.
By following these steps and using the applicable math laws, we can accurately determine the amount of soil Persephone needs for her flower garden.
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