Ask questions and get helpful answers.

A kite frame is to be made from 6 pieces of wood. The four border pieces have been cut 5 and 12. The long center piece is 13. what should the length of the cross pieces be in order to maximize the area of the kite.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
1 answer
  1. If the two top pieces are 5 units each, the bottom pieces are 12 units each, and if the center piece is 13 inches each, you are looking at two right-angled triangles, since
    5^2 + 12^2 = 13^2

    Thus the length of the cross pieces is fixed as well as the area. So this is not a problem dealing with "maximum" area
    the area of each of the two right-angled triangles is
    (1/2)(5)12) = 30
    so the area of the whole kite is 60 square units
    let each height of the triangles be h
    (1/2)(13)h = 30
    h = 60/13

    so the cross piece is 120/13 units long

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.