What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) , (−2, −4)
See the following pic :
We can divide this into three separate figures
Rectangle ABFE with area = B * H = 5 * 2 = 10 units^2
Triangle BCF with B = 2 H= 2 and area = (1/2)BH = (1/2)2*2 = 2 units^2
Triangle ECD with B= 7 H = 4 and area = (1/2)BH = (1/2)(7)(4) = (1/2)28 = 14 units^2
So.......the total area = [ 10 + 2 + 14 ] units^2 = 26 units^2