The perimeter and the area of the figure are 27.31 units and 32 square units, respectively
Finding the perimeter and area of the triangle
From the question, we have the following parameters that can be used in our computation:
The triangle
Also, we have the coordinates to be
(-5, -9), (3, -9) and (3, -1)
The side lengths can be calculated using
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the above as a guide, we have the following:
Base = √[(-5 - 3)² + (-9 + 9)²] = 8
Height = √[(3 - 3)² + (-9 + 1)²] = 8
Sland height = √[(-5 - 3)² + (-9 + 1)²] = 11.31
The perimeter is the sum of the side lengths of the shape
So, we have
Perimeter = 8 + 8 + 11.31
Perimeter = 27.31
For the area, we have
Area = Base * Height/2
Area = 8 * 8/2
Area = 32
Hence, the area is 32 square units