Q26 of 805 Page 1

Find the area of the quadrilateral ABCD, whose vertices are A(-3, -1), B(-2, -4), C(4, -1) and D(3, 4)

OR


Find the area of triangle formed by joining the mid-points of the sides of the triangle whose vertices are A(2, 1), B(4, 3) and C(2, 5).




Area of quadrilateral ABCD = Area of ∆ ABD + Area of ∆ BCD


Area of ∆ ABD =


=


= 23/2 = 11.5 sq. unit


Area of ∆ BCD =


=


= 33/2 = 16.5 sq. unit


Area of quadrilateral ABCD = 11.5 + 16.5 = 28 sq. unit


OR



We have to find coordinates of D, E and F by using mid point


formula of coordinate geometry.





Area of ∆ DEF =


=


= 1 sq. unit


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