1. Write and simplify an expression that represents the length of the south side of the field 2. Write and simplify a polynomial expression that represents the perimeter of the pumpkin field. 3. What is on reason why the perimeter of the pumpkin field would be useful to Farmer Bob? 4. What is the perimeter of the potato field? 5. Write and simplify a polynomial expression that represents the area of the squash field. 6. What is one reason why the calculated area of the squash field would be useful to Farmer Bob? 7. Farmer Bob realized that the pumpkins and squash will use the same soil type. What is the area of the squash and pumpkin fields combined?

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raphealnwobi raphealnwobi · Answer 1 · 2021-02-11T17:05:16+01:00

Answer:

The answer is below

Step-by-step explanation:

1) The length of the south side of the field = (5x + 2) + (x² - 9) + (x² - 7x +12) = x² + x² + 5x - 7x + 2 - 9 + 12 = 2x² - 2x + 5

2) The perimeter of pumpkin field = 2(length + breadth) = 2[(5x - 2) + (5x + 2)] = 2[5x + 5x - 2 + 2] = 2(10x)

The perimeter of pumpkin field = 20x

3) The perimeter of pumpkin field is useful in case Bob wants to fence the pumpkin field.

4) The perimeter of potato field = 2(length + breadth) = 2[(x + 6) + (x² - 7x + 12)] = 2[x² - 7x + x + 6 + 12] = 2(x² - 6x + 18)

The perimeter of potato field = 2x² - 12x + 36

5) Area of squash field = length * breadth = (4x) * (x)

Area of squash field = 4x²

6) The area of the squash field would be important if Bob want to determine the number of squash seeds that would be enough for the field.

7) Area of pumpkin field = length * breadth = (5x - 2) * (5x + 2) = 25x² + 10x - 10x - 4

Area of pumpkin field = 25x² - 4

Area of pumpkin field and squash field = 4x² + (25x² - 4) = 29x² - 4