Answer :

When the vertices of a quadrilateral is given then its area is given by {(x1–x3)(y2–y4) – (x2–x4)(y1–y3)}


We must take all the vertices in counter clock wise direction otherwise it will give solution in negative.


So, from the figure we assume that


A (x1, y1) = (4, –1)


B (x2, y2) = (1, 2)


C (x3, y3) = (–3, 4)


D (x4, y4) = (–5, –6)



The area of the quadrilateral is {(x1–x3)(y2–y4) – (x2–x4)(y1–y3)}


= {(4–(–3))(2–(–6)) –(–1–4)(1–(–5))}


= {56+30} = 43 Sq. units


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

In each of the foTamil Nadu Board - Math

Find the area of Tamil Nadu Board - Math

Find the area of Tamil Nadu Board - Math

Find the area of Tamil Nadu Board - Math

If the three poinTamil Nadu Board - Math

In each of the foTamil Nadu Board - Math

In each of the foTamil Nadu Board - Math

If the points (2,Tamil Nadu Board - Math

Area of the trianTamil Nadu Board - Math

The centroid of tTamil Nadu Board - Math