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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 ___square units.
A) 15
B) 16
C) 24
D) 25

Respuesta :

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


1) a rectangle  ANSWER D

2) 5*3=15 ANSWER A

Answer:

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.

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