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Lera25 [3.4K]
3 years ago
6

Find the area of the trapezoid. Recall : (b + b) h

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

Answer:

36 Sq cm

Step-by-step explanation:

Area of the trapezoid

=  \frac{1}{2}  \{8 + (4 + 8 + 4) \} 3\\  \\  =  \frac{1}{2}  \{8 + 16 \} 3\\  \\  =  \frac{1}{2}  \times 24  \times 3\\  \\  = 12 \times 3 \\  \\  = 36 \:  {cm}^{2}

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For this case we must solve the following quadratic equation:

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Where:

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The solution is given by:

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Substituting:

x = \frac {-2 \pm \sqrt {2 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-2 \pm \sqrt {4 + 24}} {2}\\x = \frac {-2 \pm \sqrt {28}} {2}\\x = \frac {-2 \pm \sqrt {2 ^ 2 * 7}} {2}\\x = \frac {-2 \pm2 \sqrt {7}} {2}\\x = -1 \pm \sqrt {7}

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x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}

ANswer:

x_ {1} = - 1+ \sqrt {7}\\x_ {2} = - 1- \sqrt {7}

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