Question

On a coordinate plane, the x-axis is labeled Side length and the y-axis is labeled Perimeter or area. A line representing the perimeter goes through points (0, 0), (1, 4), (2, 8), (3, 12). A curved line representing the area goes through points (0, 0), (2, 4), (3, 9), and (4, 16).
Andrew wants to build a square garden, and needs to determine how much area he has for planting. The perimeter of the garden is between 12 and 14 feet. What is the range of the possible areas?
3 ft2 and 4 ft2
9 ft2 and 12.25 ft2
12.25 ft2 and 14 ft2
14 ft2 and 16 ft2

Answer 1

Answer: 9ft² and 12.25ft²

Step-by-step explanation:

Answer 2

The range of the possible areas will be 9 square feet and 12.25 square feet. Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space.

On a coordinate plane, the x-axis is labeled Side length and the y-axis is labeled Perimeter or area.

A line representing the perimeter goes through points (0, 0), (1, 4), (2, 8), (3, 12).

Then the equation of line will be

y = [(12 – 8) / (3 – 2)]x

y = 4x

A curved line representing the area goes through points (0, 0), (2, 4), (3, 9), and (4, 16).

y = x²

Andrew wants to build a square garden, and needs to determine how much area he has for planting.

The perimeter of the garden is between 12 and 14 feet.

Then the value of the side length corresponding to 12 and 14 will be

For y = 12, we have

12 = 4x

 x = 3

Then the area will be

y = 3²

y = 9 square feet

For y = 14, we have

14= 4x

 x = 3.5

Then the area will be

y = 3.5²

y = 12.25 square feet

Then the range of the possible areas will be 9 square feet and 12.25 square feet.

Then the correct option is B.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

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