If A(−5,7),B(−4,−5),C(−1,−6)   and D(4,5)  are the vertices of a quadrilateral, then find the area of the quadrilateral ABCD  .

# If   and  are the vertices of a quadrilateral, then find the area of the quadrilateral  .

1. A
36 square units
2. B
72 square units
3. C
144 square units
4. D
18 square units

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### Solution:

Given that, the vertices   and  .
We have to find the area of the quadrilateral.
The area of the triangle with the coordinates   is given by the formula,
.
Find the area of the triangle.
Area of  :
Here,

Area of  :
Here,

Find the area of quadrilateral ABCD:

The area of the quadrilateral is   square units.
Hence, option 2) is correct.

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