Question

find the area of the quadrilateral whose vertices are a(-3,-3),b(2,-3),c(2,3),d(-1,2).

Answer 1

Step-by-step explanation:

Area of quadrilateral formulae : 1/2 || x1-x3 x2-x4 ||

|| y1-y3 y2-y4 ||

given points

A(-3,-3)

B(2,-3)

C(2,3)

D(-1,2)

1/2 || -3-2 2-(-1) ||

|| -3-3 -3-2 ||

1/2 || -5 3 ||

|| -6 -5 ||

we know that 1/2 || a b || = 1/2| ad-bc |

|| c d ||

1/2| 25-(-18) |

1/2| 43 |

1/2 × 43

43/2 Sq units