Find the dimensions of the rectangle of maximum area that can be formed from a 210-in. piece of wire. (use decimal notation. give your answer to three decimal places.)

does this problem require optimization over a closed interval or an open interval?

a. open

b. closed

  52.500 by 52.500 inches

Step-by-step explanation:

The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.

The figure is a 52.500 inch square. The interval of optimization is closed.

Side lengths are restricted to the interval 0 to 105 inches.

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Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8