SOLUTION: The perimeter of a rectangle is 210 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 2250 square feet.
Your answer should be one inter
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Question 994199: The perimeter of a rectangle is 210 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 2250 square feet.
Your answer should be one interval in each box.
ANSWER: The length (in feet) of a side is in the interval....???
or in the interval....???
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The perimeter of a rectangle is 210 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 2250 square feet.
Your answer should be one interval in each box.
ANSWER: The length (in feet) of a side is in the interval....???
or in the interval....???
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length + width = 105
length * width <= 2250
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Substitute for "length" and solve for "width"::
(105-width)*width <= 2250
----
-w^2 + 105w - 2250 <= 0
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w^2 - 105w + 2250 >= 0
------
Equality::
width = 30 or 75
----
If width < 30, then length is > 75
If width > 30, then lenght is < 75
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Cheers,
Stan H.
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