To find: The area of quadrilateral shape land plot.
The area of plot is
Given data:
The shape of plot is shown in Fig.1.
Method/Formula used:
The Law of Cosine states that in a
And the area of triangle ABC is
Calculations:
The area of plot ABCD is
In triangle DAB ,
Substitute, 743 for DA , 1210 for AB and 1480 for DB ,
The area of triangle
Substitute, 743 for DA , 1210 for AB and
In triangle DCB ,
Substitute, 1000 for DA , 858 for AB and 1480 for DB ,
The area of triangle
Substitute, 1000 for DC , 858 for CB and
Substitute
Thus, the area of plot is
The area of plot is
The area of the plot can be determined from the Fig. 3, if the length of diagonal AC is known.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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