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Mindblast3r

  • one year ago

help!

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  1. mindblast3r
    • one year ago
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  2. anonymous
    • one year ago
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    So we know that the top side of the rectangle is 3, which also means the bottom side of the rectangle is also 3.

  3. anonymous
    • one year ago
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    The total length of the bottom side is 5. We just said that the bottom side of the rectangle is 3. So 5 - 3 = 2. 2 is the bottom length of the triangle

  4. mindblast3r
    • one year ago
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    ok i figured that out,

  5. mindblast3r
    • one year ago
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    @happyrosy

  6. mindblast3r
    • one year ago
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    6.7?

  7. mindblast3r
    • one year ago
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    \[\sqrt{45}\]

  8. anonymous
    • one year ago
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    Did you know that this is a trapezoid. Area of a trapezoid is calculated by this formula: \[A = (\frac{ b _{1} + b _{2}}{ 2 }) * h\]

  9. anonymous
    • one year ago
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    |dw:1433123388597:dw|

  10. anonymous
    • one year ago
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    That other drawing had a mistake. The above one is correct.

  11. anonymous
    • one year ago
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    To find the other leg of the triangle, use the Pythagorean Theorem. \[c ^{2} = a ^{2} + b ^{2}\]

  12. mindblast3r
    • one year ago
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    well the Pythagorean theorem can be used.

  13. anonymous
    • one year ago
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    Yes correct

  14. mindblast3r
    • one year ago
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    yes i figured out the answer it's the square root of 45.

  15. anonymous
    • one year ago
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    You said square root of 45, which is correct.

  16. anonymous
    • one year ago
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    Okay so we found all the necessary lengths. Now we have to calculate using the formula for area of a trapezoid

  17. anonymous
    • one year ago
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    Okay so Base 1 = 3 and Base 2 = 5, the total bottom length of the trapezoid

  18. anonymous
    • one year ago
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    Find the average between the 2 bases. 3 + 5 = 8. 8/2 = 4 Average is 4. Then multiply this number by the height which is the square root of 45

  19. anonymous
    • one year ago
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    \[A = 4\sqrt{45}\] which is \[A = 4 * (\sqrt{9} * \sqrt{5})\] which is \[A = 4 * (3\sqrt{5})\] which is simplified to \[A = 12\sqrt{5}\]

  20. anonymous
    • one year ago
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    Rounded to the nearest tenth would be 26.8

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