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Trapezoid ABCD is graphed in a coordinate plane. What is the area of the trapezoid? 10 square units 12 square units 20 square units 24 square units please helpDownload png

Kaitlin Dean

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Annie Barnes on January 29, 2019

Answer: the Use of the coordinates of its vertices, the area of the trapezoid is 12 square units (Second option)Solution:The coordinates of the vertices of trapezoid ABCD are:A=(-5,-2)=(xa,ya)→xa=-5, ya=-2B=(-1,2)=(xb,yb)→xb=-1, yb=2C=(0,-1)=(xc,yc)→xc=0, yc=-K 1=(-2,-3)=(xd,yd)→xd=-2, yd=-3yi x(i+1) xi yi xi y i+1) -5 -2 (-2)(-1)=2 -1 2 (-5)(2)=-10(2)(0)=0 0 -1 (-1)(-1)=1 (-1)(-2)=2 -2 -3 (0)(-3)=0(-3)(-5)=15 -5 -2 (-2)(-2)=4S1=-10+1+0+4→S1=-5S2=2+0+2+15→S2=19Area: A=(1/2) Absolute value (S1-S2)=(1/2) Absolute value (-5-19)=(1/2) Absolute value (-24)=(1/2) (24)=24/2A=12 area of trapezium is 12 square units


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