Asandbox 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

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

The length of one of the shorter sides is

The length of wood he needs is

He needs approximately 34 ft of wood.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet