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 to the nearest whole number, if necessary.
________ feet

Answer 1

Answer:

35

Step-by-step explanation:

Just answers it.

Answer 2

ANSWER

34 ft

EXPLANATION

The wooden border around the sandbox is the perimeter of the sandbox.

Note that, the sides of the kite are the diagonals of an invisible right triangle. See attachment.

We can use the Pythagoras Theorem to find the length of the longer side

${x}^{2} = {8}^{2} + {6}^{2}$

${x}^{2} = 64 +36$

${x}^{2} = 100$

$x = \sqrt{100}$

$x = 10 \: units$

The length of one of the shorter sides is

${y}^{2} = {4}^{2} + {6}^{2}$

${y}^{2} = 16 + 36$

${y}^{2} = 52$

$y = \sqrt{52}$

$y = 2 \sqrt{13} \: units$

The length of wood he needs is

$2 \sqrt{13} + 2 \sqrt{13} + 10 + 10 = 20 + 4 \sqrt{13} = 34.42$

He needs approximately 34 ft of wood.