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Extended Response- Math?

Aidan drew This figure( Its a 5 sided shape the sides are 24,24,20,8,36)

a. what is the perimeter of the figure?

B. What is the area of the figure?

Show all your work. Explain in words how you found each answer. Tell why you took the steps you did to solve the problem.

Update:

It looks weird and its hard trying to slice it into triangles :/

1 Answer

Relevance
  • Anonymous
    8 years ago

    The perimeter is just the sides added up of course.

    Now the interesting part: Area of irregular pentagon

    Choose a vortex and draw rays splitting shape up into triangle slices. Add up the area of each triangle slice.

    If you have a picture on a graph choose slices with the easiest triangles. If not might have to work things out the hard way with trigonometry/geometry until you have info on each triangle slice. Then add areas.

    Remember that sum of complimentary angles OUTSIDE a perimeter add up to 360° and the INSIDE angles add up to 180°*(number of triangles). Triangle has 180, square has 360 etc.

    Two adjacent sides are equal so you could make an isoceles triangle, but would need an angle or internal length...

    I think you need to use another piece of information from the drawing... I'll try to work it out and edit response.

    EDIT: This problem should be easier with additional information from the drawing. Like coordinates on a grid or known right-angle or something. http://search.yahoo.com/mobile/s?ei=UTF-8&fr=fenne...

    It would be interesting if possible without more info but probably needed.

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