Question

If a(-5,7) , b(-4,-5) , c(-1,-6) ,d(4,5) are the vertices of a quadrilateral then find the area of quadrilateral

Answer 1

Answer:

72 sq unit

Step-by-step explanation:

Joining BD, there are two triangles.

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.