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Pie
4 years ago
10

Baileys rectangular dog pen for his Irish setter must have an area of 300 square feet. Also, the length must be 10 feet longer t

han the width. Find the dimensions of the pen.
Mathematics
1 answer:
Naily [24]4 years ago
7 0
Area of rectangle = length × width
300 = (x+10) × x
300 = 10x + x^2
Now we have the equation y=x^2 + 10x - 300
We can factor this equation to get our zeroes, which are:
-5(1+sqrt(13)),
5(sqrt(13)-1)

We only use the positive zero because we can't have a negative dimension.

Your width would be:
5(sqrt(13)-1)

Your length would be:
5(sqrt(13)-1) + 10
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Cerrena [4.2K]

Answer:

a = 15

Step-by-step explanation:

Substitute b = 12 , a = 9 into the equation

12 = \sqrt{a^2-9^2}

12 = \sqrt{a^2-81} ← square both sides

144 = a² - 81 ( add 81 to both sides )

225 = a² ( take square root of both sides )

± \sqrt{225} = a , then

a = ± 15

a > 0 , so a = 15

7 0
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3 years ago
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