Question

A sandbox is shaped like a kite on the coordinate plane. Each unit represents one foot. How many feet of wood does the planner need to replace the border around the sandbox? Round up to the nearest whole number.

Answer 1

To find the perimeter of the sandbox, use the distance formula to calculate the length of each side and then add them together.

Step-by-step explanation:

The sandbox is shaped like a kite on the coordinate plane. To find the perimeter of the sandbox, we need to find the sum of the lengths of all four sides. Since the sandbox is in the shape of a kite, it has two pairs of congruent sides. Let's denote the lengths of the congruent sides as 'a' and 'b'. The formula to find the perimeter of a kite is P = 2(a + b).

Since we don't have the exact lengths of the sides, we cannot calculate the perimeter accurately. However, if you have the coordinates of the vertices of the sandbox, you can use the distance formula to find the lengths of the sides and then calculate the perimeter by adding them all together.

For example, if the coordinates of the vertices are (x1, y1), (x2, y2), (x3, y3), and (x4, y4), then the length of one side is given by the formula:

d = sqrt((x2-x1)^2 + (y2-y1)^2)

You would calculate the lengths of all four sides and then add them together to find the perimeter.