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 has already used 30+30=60 ft of rope.

A kit shape has 2 pairs of 2 lines that are the exact same length. We can use x to represent this unknown length.

60+2x=100

Subtract 60 from both sides
2x=40

Divide both sides by 2
x=20

Final answer: He can use all the rope by using 20 ft for each of the other sides that are left.

Answer 2

A kite has two pairs of
congruent adjacent sides and opposite sides that are not congruent.
Jared has already created one pair of congruent adjacent sides. Since he
has used 60 ft of rope, there are 40 ft remaining. This means that he
will need 20 ft of rope for each of the other sides, or half of the
remaining rope, in order to create another pair of congruent adjacent
sides. Since this is a different length than 30 ft, the shape has
opposite sides that are not congruent.