If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the
quadrilateral ABCD.
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Answered by
3
- first find distance of ab bc cd ad
- then find area of rectangle abcd length ×breadth
Answered by
5
Answer:
Step-by-step explanation:
Area of quad ABCD = Ar △ABD + Ar △BCD
Ar △ABD = ½| (-5)(-5 - 5) + (-4)(5 - 7) + (4)(7 + 5) |
= 53 sq units
Ar △BCD = ½| (-4)(-6 - 5) + (-1)(5 + 5) + (4)(-5 + 6) |
= 19 sq units
Hence, area of quad ABCD = 53 + 19 = 72 sq units
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