Question

Jared is using a 100 ft rope to set up a kite-shaped area for food vendors. He has started roping off the area as shown below, and has one more stake to place. How can Jared use all of the rope to complete the kite shape? Explain.

Answer 1

Jared can set up the kite-shaped area by creating a similar outline to the

one already created, with the remaining rope, in the opposite direction,

having equal width, but lesser depth.

Known parameters;

Length of rope = 100 ft.

Shape of area Jared is setting up = Kite shape

Shape of outline already roped by Jared = Congruent segment of 30 ft. each forming a vertex point

Required:

How Jared can use all of the rope to complete the kite shape.

Solution:

• A kite consists of two isosceles triangles of different side length sharing the same base.

• Jared can search for and place a mark at the midpoint of the remaining 40 feet of rope.

• Each end of the remaining 40 feet rope should be attached to the two base vertex of the already formed isosceles triangle having 30 feet sides.

• The remaining rope can then be stretched from the midpoint until it is taut. The location of the midpoint at this state is where the the last stake should be placed.

The completed shape then consists of two isosceles triangles sharing a common base, and having perpendicular diagonals, including;

• A pair of equal adjacent sides.

• Unequal opposite sides.

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