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Neporo4naja [7]
3 years ago
10

5: Answer the questions completely: Jordan has a new puppy. She wants to put a fence around part of her yard to cover an area of

200 square feet. What dimensions (length x width) should she make the rectangular area? What would be the perimeter of this area?
Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

Given that Jordan has a new puppy and she wants to put a fence around part of her yard to cover an area of 200 square feet.

Now we have to find what dimensions (length x width) should she make the rectangular area. None of the length or width are given so there can be lots of answers.

Since area is rectangular and we know that rectangle has different value of length and width so we just need to find two factors of given area 200 square feet.

For example 20 times 10 is 200.


So the dimension of the rectangular area will be:

Length = 20 feet and width = 10 feet


Now perimeter of the rectangle is given by formula:

Perimeter = 2(length+width) = 2(20+10)=2(30)=60


Hence perimeter is 60 feet.


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Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

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Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

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The sum's degree is 7

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c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5  +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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