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Olin [163]
1 year ago
13

A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of u

ncovered floor on the other 2 sides. Find a polynomial expression for the area of the rootn in terms of ×, the side length of the rug.
Mathematics
1 answer:
Gekata [30.6K]1 year ago
4 0

The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.

Here, we are given that the side of the length of the rug = x

Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.

This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)

Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)

Kindly refer to the diagram below for a better clarity of how we found out the sides.

Now, the area of a rectangle = Length × Breadth

Thus, area of the room = (x + 12) (x + 4)

= x^2 + 4x + 12x + 48

= x^2 + 16x + 48

Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48

Learn more about quadratic equations here-

brainly.com/question/24334139

#SPJ9

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Geometry and I need help
Yanka [14]

Answer:

y = 11

Step-by-step explanation:

We use the definition of Supplementary Angles and Adjacent Angles.

Step 1: Set up equation 1 (Definition of Supplementary Angles)

5x - 4 +7x - 8 = 180

Step 2: Solve for <em>x</em>

12x - 4 - 8 = 180

12x - 12 = 180

12x = 192

x = 16

Step 3: Plug in <em>x</em>

5(16) - 4

80 - 4

76°

Step 4: Set up equation 2 (Definition of Supplementary Angles)

76 + 9y + 5 = 180

Step 5: Solve for <em>y</em>

9y + 81 = 180

9y = 99

y = 11

3 0
3 years ago
Read 2 more answers
a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representati
seropon [69]

Answer:

Step-by-step explanation:

The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.

8 0
3 years ago
You have $50 in your bank account.
kap26 [50]

Answer:

10 hours

Step-by-step explanation:

If I have $50 in my bank account, and I want to have a total of $130 in my account. It means that I need to work enough hours to make $130 - $50 = $80.

If I make $8 per hour, and I need to make $80, then I just have to work 10 hours. ($80/8 = 10)

7 0
3 years ago
In how many ways can the letters in the word spoon be arranged?
Kisachek [45]
I search and found different answers but the nearest is 24
7 0
2 years ago
I NEED HELP ON THIS A.S.A.P !!!!!!!! will give brainleist!!!
blsea [12.9K]

Answer:

D

Step-by-step explanation:

30.20 * 15% (or 0.15) = 4.53

4.53 is about 4.50

6 0
3 years ago
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