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

Question

Pie

4 years ago

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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] · Answer 1 · 2021-12-30T00:24:33+03:00

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