In a grid of a backyard, the vertices of the floor of a shed are (20, 80), (50, 60), (50, 20), and (20, 20). the coordinates are measured in feet. find the area of the floor of the shed.

The area of the floor of the shed is 1500 square feet.

Step-by-step explanation:

Given:

The vertices of the floor of a shed are: (20,80), (50,60), (50,20) and (20,20)

Let us plot the given vertices on a graph.

From the graph, it is clear that the given figure is a trapezium with opposite parallel sides being parallel to the y axis. The height of the trapezium is the side that is parallel to x axis.

The area of the trapezium ABCD is given as:

From the graph, AB = 60 ft, CD = 40 ft, AD = 30 ft

Therefore, the area is given as:

Therefore, the area of the floor of the shed is 1500 square feet.