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.

{3 + i, 3 - i, 3, -1}

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet