Question

Find the area of square ABCD where coordinates of A,B,C,D are [0,0],[1,2],[2,5] and [1,4] respectively.

Answer 1

"" ❤️ Answer ❤️ ""

Area of quadrilateral ABCD = Area of traingle ABC + Area of triangle ACD

Area of triangle

=

2

1

[x

1

(y

2

−

y

3

3

x

2

y

1

1

x

3

y

2

Area of triangle ABC

=

2

1

[1(−3−

2)+

7(2−

1)+

12(1+

3)]

=

24

square units

Area of triangle ACD

=

2

1

[1(2−

21)+

12(21−

1)+

7(1−

2)]

=

107

square units

Therefore, area of quadrilateral ABCD

=

25+

107=

132

sq. units

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Answer 2

Area of quadrilateral ABCD = Area of traingle ABC + Area of triangle ACD

refer to the attachment

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