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

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

Also,

Length of one side of rectangle=5 units.

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

                        5×3=15 square units.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

idk

step-by-step explanation: