Use conversions to solve the problem. Jane wants to edge her garden with stone. All sides are equal. The stone costs $8 per yard. What is the perimeter of the garden? How much will it cost to buy the edging she needs?

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Respuesta :

To solve this problem, we first need to find the length of one side of the garden, which will also be the same for all sides since the garden is square. Then we can calculate the perimeter of the garden and the cost of the stone edging.

Given:

Cost of stone = $8 per yard

1 yard = 3 feet

Let's start by finding the length of one side of the garden. We can do this by converting the cost of the stone to the cost per foot and then finding the length of one side of the garden:

Cost per yard = $8

Cost per foot = $8 / 3 feet = $8 / 3

Now, let's assume the length of one side of the garden is x feet.

Cost per foot * Length of one side of the garden = Cost of stone edging

So, we have:

$8/3 * x = Cost of stone edging

To find x, we rearrange the equation:

x = (Cost of stone edging) * 3 / $8

Now, we can use the value of x to find the perimeter of the garden:

Perimeter of the garden = 4 * length of one side

Finally, we can calculate the total cost of the stone edging by multiplying the cost per foot by the perimeter of the garden.

Let's plug in the values and calculate:

x = (Cost of stone edging) * 3 / $8

Perimeter of the garden = 4 * x

Total cost of stone edging = Cost per foot * Perimeter of the garden

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