Find the length and width of a rectangle that has perimeter 40 meters and a maximum area.

Name: Find the length and width of a rectangle that has perimeter 40 meters and a maximum area.
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Question

Find the length and width of a rectangle that has perimeter 40 meters and a maximum area. ​

Quizplus · Accepted Answer

For a rectangle with a given perimeter, the maximum area is achieved when the rectangle is a square, meaning its length and width are equal. Given a perimeter of 40 meters, dividing by 4 (since a square has 4 equal sides) gives each side as 10 meters.

Find the Length and Width of a Rectangle That Has