To Calculate:
The dimensions of the rectangle of maximum area and having perimeter
Length and width both are
Given:
The perimeter of the rectangle is
Concepts Used:
The perimeter of a rectangle is twice the sum of its length and width.
The area of a rectangle is the product of its length and width.
Calculations:
Let
Substitute the available information into the formula for perimeter of rectangle.
Thus, the width can be written as
Write an expression for the area of rectangle:
Graph the expression and determine the maximum value of area
The maximum value of
The corresponding value of
Conclusion:
The rectangle having maximum area and having perimeter
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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