Question

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

Answer 1

Image is missing, so i have attached it.

Answer:

35 ft

Explanation:

First of all, the wooden border around the sandbox would be the perimeter of the sandbox.

From the image attached, we can see that the sides of the kite are the diagonals of an invisible right triangle.

So, we will use the Pythagoras Theorem to find the length of the longer side.

Thus;

x² = 8² + 6²

x² = 100

x = √100

x = 10 ft

Similarly, the length of one of the shorter sides would be;

y² = 4² + 6²

y² = 16 + 36

y = √52 ft

Thus, the length of the wood the planner needs is;

10 + 10 + √52 + √52 = 34.42 ft

Approximation to a whole number gives 35 ft