Question

What is the area of the composite figure whose vertices have the following coordinates? (−1, 5) , (3, 5) , (7, 3) , (3, 0) , (−1, 1) Enter your answer in the box. units²

Answer 1

We can see the figure as two triangles and a square.
 We have then:
 Area of the square:
 A1 = (4) * (4)
 A1 = 16
 Area of the small triangle:
 A2 = (1/2) * (4) * (1)
 A2 = 2
 Area of the big triangle:
 A3 = (1/2) * (5) * (4)
 A3 = 10
 The area of the figure is:
 At = A1 + A2 + A3
 At = 16 + 2 + 10
 At = 28units²
 Answer:
 The area of the figure is:
 At = 28units²
 Note: see attached image