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mia has 50 feet of fencing to make a rectangular kennel for her dog. she decides to use a part of her house as one side of the kennel. she needs a minimum enclosed area of 300 square feet. of the inequalities listed, which forms of the inequality represent this situation?

-2l2 + 50l − 300 ≥ 0

(l − 15)(l − 10) ≥ 0

l(50 − 2l) ≥ 300

(l − 15)(l − 10) ≤ 0

l(2l − 50) ≥ 300

-2l2 + 50l − 300 ≤ 0

-2L² + 50L − 300 ≥ 0

Step-by-step explanation:

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Perimeter is the sum of all the sides. She got 50 feet of fence work with. So our equation right now is:

y + y + x + x = 50

However, she used her house for one of the side, so we can remove one of the side. Our new equation is now:

y + y + x = 50

Solve for one of the side. I solved for x because it's easier to work with and substitute later. I got x = 50 - 2y.

Now I solve for area. Area of a rectangle is Length * Width.

A = LW

I used x and y for my sides so my area is this instead:

A = yx

Substitute in x.

A = y(50 - 2y)

A = 50y - 2y²

Area must be a minimum of 300ft², so

50y - 2y² ≥ 300

50y - 2y² - 300 ≥ 0

replace y with L because that's what they used in the answer choice

-2L² + 50L − 300 ≥ 0

right

step-by-step explanation: