To the nearest tenth, what is the area of the polygon with vertices W(2,2), X(4,-3), Y(0,-5), and Z(-5,-1)?

Question

This is done on a graph

Answer 1

Split it into 2 triangles by drawing the line from (0,-5) to (2,2)

 

The smaller triangle has side measures 2*sqrt(5), sqrt(29) and sqrt(53)

The area shall be sqrt(145) = 12.042 approximately

 

the larger triangle has side measures sqrt(41), sqrt(53), and sqrt(58)

The area shall be 48.7647

 

The total area is 60.8

 

The side measures are found using the distance formula and area of the triangle is 1/2*base*height