Question

Find the area and perimeter of a polygon with vertices located at A(-4,-8), B(4, -8), C(4, 0), D(0, 3), and E(-4,0).

Area =

Perimeter =​

Answer 1

76 and 34

Explanation:

See attached

As we see this is a polygon with sides of AB=BC=AE and CD=DE

• Sides AB=BC=AE equal to 8
• Sides CD=DE =
  `√(3^2 + 4^2)` = 5

Area is the sum of areas of a square ABCE with side 8 and a triangle CDE with base of 8 and height of 3:

• Area = 8*8 + 1/2*8*3 = 64 + 12 = 76
• Perimeter = 8*3 + 5*2 = 24 + 10 = 34