Mindblast3r
  • Mindblast3r
help!
Mathematics
schrodinger
  • schrodinger
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Mindblast3r
  • Mindblast3r
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anonymous
  • anonymous
So we know that the top side of the rectangle is 3, which also means the bottom side of the rectangle is also 3.
anonymous
  • anonymous
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

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Mindblast3r
  • Mindblast3r
ok i figured that out,
Mindblast3r
  • Mindblast3r
Mindblast3r
  • Mindblast3r
6.7?
Mindblast3r
  • Mindblast3r
\[\sqrt{45}\]
anonymous
  • anonymous
Did you know that this is a trapezoid. Area of a trapezoid is calculated by this formula: \[A = (\frac{ b _{1} + b _{2}}{ 2 }) * h\]
anonymous
  • anonymous
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anonymous
  • anonymous
That other drawing had a mistake. The above one is correct.
anonymous
  • anonymous
To find the other leg of the triangle, use the Pythagorean Theorem. \[c ^{2} = a ^{2} + b ^{2}\]
Mindblast3r
  • Mindblast3r
well the Pythagorean theorem can be used.
anonymous
  • anonymous
Yes correct
Mindblast3r
  • Mindblast3r
yes i figured out the answer it's the square root of 45.
anonymous
  • anonymous
You said square root of 45, which is correct.
anonymous
  • anonymous
Okay so we found all the necessary lengths. Now we have to calculate using the formula for area of a trapezoid
anonymous
  • anonymous
Okay so Base 1 = 3 and Base 2 = 5, the total bottom length of the trapezoid
anonymous
  • anonymous
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
anonymous
  • anonymous
\[A = 4\sqrt{45}\] which is \[A = 4 * (\sqrt{9} * \sqrt{5})\] which is \[A = 4 * (3\sqrt{5})\] which is simplified to \[A = 12\sqrt{5}\]
anonymous
  • anonymous
Rounded to the nearest tenth would be 26.8

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