Find the area of the image below:

figure hijkl is shown. h is at 0, 0. i is at negative 4, 5. j is at negative 1, 8. k is at 4, 8. l is at 1, 5.

24.6 square units
25.8 square units
26.3 square units
27.5 square units

27.5. First make the numbers into a chart __ X_Y_ H[ 0 | 0 ] I [-4 | 5 ] J [ -1 | 8 ] K[ 4 | 8 ] L [ 1 | 5 ] then cross multiply the X coordinates with the Y like this (HX*IY)+(IX*JY)+(JX*KY)+(KX*LY) then substitute the numbers. (0*5)+(-4*8)+(-1*8)+(4*5)= 0+(-32)+(-8)+20 = -20 Now repeat the other cross multiplying method like this (HY*IX)+(IY*JX)+(JY*KX)+(KY*LX) then substitute the numbers. (0*-4)+(5*-1)+(8*4)+(8*1)= 0+(-5)+32+8 = 35 subtract this number with -20 like 35-(-20) → 35+20 = 55 then divide by two getting you 27.5.