Question

Lauren builds a sandbox shaped like an octagon. Each side of the sandbox is the same length.

The perimeter of the sandbox is 18.8 feet.

An octagon with 8 equal sides, all with unknown length, in feet.

Part A
How long is each side of the sandbox? Enter your answer in the box.

feet ( Input Answer )

Part B
The total cost of sand to fill the sandbox is $59.48. Lauren and 3 friends divide the cost equally.
How much does each person pay? Enter your answer in the box.

$ ( Amount??? )

Answer 1

To solve this problem, we need to first find the length of each side of the sandbox. Since the sandbox is an octagon with 8 equal sides, we know that the perimeter of the sandbox is 8 times the length of each side. Thus, we can use the formula for perimeter to find the length of each side:

Perimeter = 8 * Side Length

Substituting the given values into this formula, we get:

18.8 feet = 8 * Side Length

Dividing both sides of the equation by 8, we get:

Side Length = 2.35 feet

Therefore, each side of the sandbox has a length of 2.35 feet.

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To find the amount of money that each person pays to fill the sandbox, we need to divide the total cost by the number of people involved. In this case, there are 4 people in total, so each person pays 1/4 of the total cost. Thus, the cost per person is $59.48 / 4 = $14.87.