What polygon is obtained by graphing the given system of inequalities? what is the area of the polygon bounded by the inequalities?

y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6

the polygon obtained by graphing the system of inequalities is a
a) triangle
b) trapezoid
c) square
d) rectangle
the area of the polygon bounded by the inequalities is units.
a) 15
b) 16
c) 24
d) 25

Hello,
Vertex are (1,1),(1,6),(1,4),(6,1)

1) a rectangle  ANSWER D

2) 5*3=15 ANSWER A

The polygon obtained by graphing the system of inequalities is:

                    D) Rectangle.

The area of the polygon bounded by the inequalities is:

             A) 15 square units.

Step-by-step explanation:

We are given a system of inequalities as:

            y ≥ 1

           x ≥ 1

           y ≤ 4

          x ≤ 6

Now when we graph these inequalities in a coordinate plane ; we will obtain a rectangle as a region bounded by these inequalities whose vertex are marked in the graph.

Also,

Length of one side of rectangle=5 units.

and length of the other side of the rectangle= 3 units.

Hence, the Area of rectangle so obtained is:

                        5×3=15 square units.

The answer to your question is b’(16,14)

What the f u c k tou are talking