Question

What is the area of the composite figure whose vertices have the following coordinates? (2, −2) , (2, 1) , (4, 2) , (6, 2) , (4, −1) Enter your answer in the box.

Answer 1

36 units

Explanation:

We will have to find the area of a rectangle, the area of a triangle, and the area of a rectangle, then add the areas together to get the area of the composite figure.

Area of rectangle:

• Area of a rectangle = W x L
• Area of a rectangle = 5 x 2
• Area of a rectangle = 10

Area of Triangle:

• Area of triangle 1= 1/2 X B X H
• Area of triangle 1= 1/2 X 2 X 2
• Area of triangle 1= 1/2 X 4
• Area of triangle 1= 2
• Area of triangle 2= 1/2 X B X H
• Area of triangle 2= 1/2 X 7 X 4
• Area of triangle 2= 1/2 X 28
• Area of triangle 2= 14

Area of a rectangle + Area of triangle 1 + Area of triangle 2 = 10 + 2 + 14 = 36

Hope this helped :)

Answer 2

we have that

using a graph tool

the answer is 36 units²

Have a great day :)