ABCDE is a polygon whose vertices are A(-1,0) ,B(4,0) ,C(4,4) ,D(0,7) , E(-6,2) Find the area of the - Maths - Coordinate Geometry

Question

ABCDE is a polygon whose vertices are A(-1,0) ,B(4,0)
,C(4,4) ,D(0,7) , E(-6,2) Find the area of the Polygon

priyanka saggu · Accepted Answer

ar ADE = 12{-1(7-2) + 0(2-0_-6(0-7)}=12{-5+42} = 372sq units = 18 5
sq unitsar ADC = 12{-1(7-4)+0(4-0)+4(0-7)}= 12{-3 -28} = 312sq
units = 10 5 sq unitsar BAC = 12{4(0-4) - 1(4-0) +
4(0-0)}=12{-16-4) = 10 sq unitsar ABCDE = 18 5 +10 5+10 = 38 0 sq
units

ABCDE is a polygon whose vertices are A(-1,0) ,B(4,0) ,C(4,4) ,D(0,7) , E(-6,2) . Find the area of the Polygon.