SOLUTION: A rectangular is 100 meters long and 65 meters wide. Give the length and width of another rectangular field that has the same perimeter but a smaller area. How do I figure ou

Algebra ->  Rectangles -> SOLUTION: A rectangular is 100 meters long and 65 meters wide. Give the length and width of another rectangular field that has the same perimeter but a smaller area. How do I figure ou      Log On


   



Question 592795: A rectangular is 100 meters long and 65 meters wide.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
How do I figure out this problem?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Calculate the area of the given rectangle.

Step 2: Use the fact that the maximum area for a rectangle of a given perimeter is a square where each side is the perimeter divided by 4 to realize that very long and short or very tall and narrow rectangles have smaller areas than rectangles with the same perimeter that are closer to square shaped. Add 1 meter to the length and subtract one meter from the width -- the area will be smaller.

John

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