Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7).

Solution:

By plotting the vertices at (1, 3), (7, 3), (7, 7), and (4, 7)

In the graph we find a rectangle and a right triangle

First let us find the area of each figure separately

Area of rectangle = length× breadth 

= 4× 3 

= 12 square units

Area of a right triangle = ab/2

= (4× 3)/2

= 12/2

= 6 square units

Area of the polygon = 12 + 6 = 18 square units

Therefore, the area of a polygon is 18 square units.

Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7).

Summary:

The area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7) is 18 square units.