After plotting the data where x equals the length of the side of a polygon, and f(x) represents the area of the polygon, Jack used technology and determined the appropriate model to approximate the area of the polygon, f(x) = x2 + 2x + 3. Use the model Jack created to predict the area of a polygon that has a side length of 3.10
18
19
20

Answers

Answer 1

Answer:

The area of polygon is 18 sq. units.

What is polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments, without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons.

Given that jack has a model f(x) = x² + 2x +3

where f(x) is area of polygon and x shows length of side

area when length is 3

substitute value of x in equation

f(x) = x² + 2x +3

f(3) = 3² + 2ₓ3 + 3

f(3) = 9 + 6+ 3

f(3) = 18

Hence area of polygon according to given equation is 18 sq. units

Learn more about polygon

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Answer 2

Answer: We are given the model to approximate the are of the polygon to be
f(x) = x² + 2x + 3
where x is the length of the side
For a polygon with a side length of 3, x = 3
f(3) = 3² + 2(3) + 3
f(3) = 18
The area is 18

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