Answer:
-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
Answer:
-2l^2+50l-300 ≥ 0
l(50 − 2l) ≥ 300
(l − 15)(l − 10) ≤ 0
Step-by-step explanation:
