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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 .


The area of the polygon bounded by the inequalities is square units.

Verified Answer :

caylus

Hello,

a rectangle
Area=5*3=15


Cricetus

Answer:

A= 15 sq units

Step-by-step explanation:

In order to find the polygon bounded by these inequalities we need to graph them first and find the shaded region among them.

In order to draw the inequalities we will graph

x=1, y=1, x=4, y=6

Then we shade the region satisfied by the inequalities as shown in the graph.

Here we find the intersection points of all these lines. The points are

(1,1) , (1,4) , (6,1) , (6,4)

Here we can also see that shaded region is a rectangle whose length is 5 units and width is 3 units.

Hence its area will be

A = l b

A = 35

A= 15 sq units

View image Cricetus

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