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12 July, 02:05

Quadrilateral is a rectangle with vertices D (-8, 2), E (2, 7), F (5, 1), and G (-5, - 4). Find the area of the rectangle.

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  1. 12 July, 03:52
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    First find the length DE

    a = The difference of 2 and 7 = 5

    b = The difference of - 8 and 2 = 10

    a² + b² = c²

    25 + 100 = 125

    c = √125

    Now find length EF

    A = The difference of 5 and 2 = 3

    B = The difference of 1 and 7 = 6

    A² + B² = C²

    9 + 36 = 45

    C = √45

    Now we have the lengths of the rectangle. Area of a rectangle = LW

    √125 x √45 = 75 (units) ²
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