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Yakvenalex [24]
4 years ago
10

I need help with this problem

Mathematics
1 answer:
laiz [17]4 years ago
5 0

Answer:

1 feet wide

Step-by-step explanation:

Let the even strip around 4 sides of the rug be "x" ft.

So, we can say:

The rug's length is 15 - x - x [from both side] = 15 - 2x

The rug's width is 20 - x - x = 20 - 2x

Rug (being a rectangle) will have an area:

Area = length * width

234 = (20 - 2x) (15 - 2x)

Multiplying and solving this equation we will get x:

234 = (20 - 2x) (15 - 2x)\\234=300-40x-30x+4x^2\\4x^2-70x+66=0

Solving we get:

x = 16.5

x = 1

Since, x = 16.5 is not a feasible solution (you cant take out 16.5 from each side because one side is 15 total and another side is 20 total), x = 1 is the solution.

So,

She will have a strip that is 1 feet wide

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Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
============
a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
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36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
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23.5 to 21.2......this is a decrease
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