SOLUTION: An architect is designing an atrium for a hotel. The atrium is to be rectangular with a perimeter of 700 ft of brass piping. What dimensions will maximize the area of the​ at
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Question 1114191: An architect is designing an atrium for a hotel. The atrium is to be rectangular with a perimeter of 700 ft of brass piping. What dimensions will maximize the area of the atrium?
A rectangle has a horizontal side labeled W and a vertical side labeled L.
The largest rectangular area of the atrium is
______ by______.
There might be more after this, but at the moment, this is all of the problem I have. Thank you in advance for your time.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I should end up with a square to maximize area.
The perimeter is ft
ft
-----------------------
The area,
ft2
------------------------
The formula for the W-value of the vetex,
( maximum in his case ) is
when the general form is:
and
---------------------------
So the max area is a square. You can calculate
and check my math.
Note also:
as it should
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