Question
Asked Nov 19, 2019
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Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show work. 

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Expert Answer

Step 1

Given:

Perimeter of a rectangle is 68 m.

Step 2

Calculation:

Let x and y be length and width of the rectangle.
Perimeter of the rectangle = 2(x+ y)..(1)
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Let x and y be length and width of the rectangle. Perimeter of the rectangle = 2(x+ y)..(1)

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Step 3
From the given information,
2(x+y) 68
68
2
x+y 34
y 34x(2)
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From the given information, 2(x+y) 68 68 2 x+y 34 y 34x(2)

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Tagged in

Math

Calculus