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anonymous

  • one year ago

What is the area of the figure?

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @Nnesha

  3. mathstudent55
    • one year ago
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    You have two polygons in the figure. Do you know what are the names of the two polygons?

  4. mathstudent55
    • one year ago
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    |dw:1441047382462:dw|

  5. mathstudent55
    • one year ago
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    What type of polygon is polygon B? Hint: It has three sides.

  6. anonymous
    • one year ago
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    polygon B looks like a triangle almost

  7. trwatkins1
    • one year ago
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    btw the formulla is lenth x whith x hieght my grammer is bad

  8. anonymous
    • one year ago
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    lol its fine @trwatkins1

  9. mathstudent55
    • one year ago
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    Exactly. Polygon B is a triangle. To find its area we will use the formula for the area of a triangle.

  10. mathstudent55
    • one year ago
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    Now we need to find out about polygon A. You can see it has 4 sides. Each set of two opposite sides has the same length. Do you know what polygon A is?

  11. anonymous
    • one year ago
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    it seems to look like a slanted rhombus

  12. mathstudent55
    • one year ago
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    |dw:1441047696617:dw|

  13. trwatkins1
    • one year ago
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    bella the answer to a?

  14. anonymous
    • one year ago
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    you mean for the options ? there aren't any , this is o ne of the questions where you don't lol

  15. mathstudent55
    • one year ago
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    It is close to a rhombus in certain way, but a rhombus has all sides of equal length. Polygon A is a parallelogram.

  16. mathstudent55
    • one year ago
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    Now we need to find the formulas for the area of a parallelogram and the area of a triangle.

  17. anonymous
    • one year ago
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    ok . lets take shot :)

  18. mathstudent55
    • one year ago
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    \(\large A_{parallelogram} = bh\) \(\large A_{triangle} = \dfrac{bh}{2} \)

  19. mathstudent55
    • one year ago
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    The area of a parallelogram is the base times the height. The base can be any side of the parallelogram. Once you choose a side as the base, then the height is a segment that goes from that base to the opposite side and is perpendicular to both sides.

  20. mathstudent55
    • one year ago
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    |dw:1441047975610:dw|

  21. mathstudent55
    • one year ago
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    In your figure, we see that we can choose the side of 24-yd length to be the base. Then the height is the 12-yd dashed segment. Since we have a base and a height, we can find the area of the parallelogram.

  22. anonymous
    • one year ago
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    so 12 * 24 which equals 288 , correct?

  23. mathstudent55
    • one year ago
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    Yes, for the parallelogram. Now we look at the triangle below.

  24. anonymous
    • one year ago
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    ok I was thinking to do 15 * 8.4 which equals 126 , do we do that or what other should we do

  25. mathstudent55
    • one year ago
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    We need a base and a height for the formula. Any side of a triangle can be a base. Then the height is the length of a segment that is perpendicular to the base and ends in the opposite vertex.

  26. mathstudent55
    • one year ago
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    |dw:1441048377489:dw|

  27. anonymous
    • one year ago
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    ok I got the answer already!

  28. mathstudent55
    • one year ago
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    Now that we see we can use the side of length 24 yd to be that base and the 8.4-yd side as the height, we use the formula for the area of a triangle. \(\large A = \dfrac{bh}{2} \) We multiply together the base and the height and we divide by 2.

  29. trwatkins1
    • one year ago
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    bella whats the answer?

  30. anonymous
    • one year ago
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    I got 561.6 for the answer

  31. mathstudent55
    • one year ago
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    15 yd is not a dimension of the triangle. It is the side of the parallelogram.

  32. trwatkins1
    • one year ago
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    math is that correct because thats what i got too

  33. mathstudent55
    • one year ago
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    Total area = area of parallelogram + area of triangle = \(bh + \dfrac{bh}{2} = 24 \times 12 + \dfrac{24 \times 8.4}{2} \) \(= 288 + 100.8 = 388.8 ~yd^2\)

  34. trwatkins1
    • one year ago
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    oh i did that wrong

  35. trwatkins1
    • one year ago
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    *facepalm

  36. mathstudent55
    • one year ago
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    The final answer is that the area of the figure is 388.8 square yards.

  37. anonymous
    • one year ago
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    ooooh i did too , ok thanks !

  38. mathstudent55
    • one year ago
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    @Bella111 Be careful with the area of the triangle. Use base 24 yd and height 8.4 yd. Multiply the base by the height and divide by 2. Area of triangle = (24 yd * 8.4 yd)/2 = 100.8 yd^2

  39. mathstudent55
    • one year ago
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    Then when you add the area of the triangle, 100.8, to the area of the parallelogram, 288, you get the total area of 388.8 sq yd.

  40. anonymous
    • one year ago
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    ok! thanks so much

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