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    quadrilateral area and diagonals

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    7. Figure 4 shows a survey of a building which forms a quadrilateral ABCD
    Calculate a) the length of the diagonals - AC and BD
    b) the area of the plot ABCD

    Please see attachment for diagrams.

    © BrainMass Inc. brainmass.com October 10, 2019, 6:20 am ad1c9bdddf
    https://brainmass.com/math/geometric-shapes/quadrilateral-area-diagonals-540023

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    7.a
    AC^2 = AB^2 + BC^2 - 2*AB*BC*cos(65)
    => AC = sqrt(21.4^2 + 29.6^2 - 2*21.4*29.6*cos(65)) = 28.26 --ANSWER

    To estimate BD:

    AC^2 = AD^2 + DC^2 - 2 * AD * DC * cos(ADC) = AB^2 + BC^2 - 2*AB*BC*cos(65)
    => 2*AD*DC*cos(ADC) = AD^2 + DC^2 - AB^2 - BC^2 ...

    Solution Summary

    Estimation of length of diagonals of a quadrilateral and area of the quadrilateral is given in the solution.

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