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Math Help - Find the area of a parallelogram with vertices A(–4, 2), B(1, 6), C(15, 6), and D(10,

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    Find the area of a parallelogram with vertices A(–4, 2), B(1, 6), C(15, 6), and D(10,

    Find the area of a parallelogram with vertices A(–4, 2), B(1, 6), C(15, 6), and D(10, 2).

    A) 48 square units
    B) 56 square units
    C) 60 square units
    D) 51 square units
    E) 70 square units
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  2. #2
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    Quote Originally Posted by Leo34005 View Post
    Find the area of a parallelogram with vertices A(4, 2), B(1, 6), C(15, 6), and D(10, 2).

    A) 48 square units
    B) 56 square units
    C) 60 square units
    D) 51 square units
    E) 70 square units
    Start by plotting the given points and drawing the parallelogram. Now read this: Area of a Parallelogram
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    \overrightarrow {AB}  = \left\langle {5,4} \right\rangle \;\& \,\overrightarrow {AD}  = \left\langle {14,0} \right\rangle

    Then \text{Area}=\left\| {\overrightarrow {AB}  \times \overrightarrow {AD} } \right\|
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    Quote Originally Posted by Plato View Post
    \overrightarrow {AB} = \left\langle {5,4} \right\rangle \;\& \,\overrightarrow {AD} = \left\langle {14,0} \right\rangle

    Then \text{Area}=\left\| {\overrightarrow {AB} \times \overrightarrow {AD} } \right\|
    This answer is correct but may be beyond the OP's current level of understanding.


    Edit: OP = Original Poster.
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