Answer:
length = 75
width = 75
Step-by-step explanation:
Let x and y be the length and width of the rectangle respectively.
Given that the perimeter is 300 m, so
Dividing both sides by 2 yields
The area of the rectangle is
Since the area is maximum, the derivative of the area of the rectangle is equal to zero.
This can be written as:
Take the constant out
Hence, the dimensions of the rectangle is:
length = 150 - 75 = 75
Note: The rectangle turns out to be a square, and by definition, a square is a special type of rectangle.
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Answer:
length = 75
width = 75
Step-by-step explanation:
Let x and y be the length and width of the rectangle respectively.
Given that the perimeter is 300 m, so
Dividing both sides by 2 yields
The area of the rectangle is
Since the area is maximum, the derivative of the area of the rectangle is equal to zero.
This can be written as:
Take the constant out
Hence, the dimensions of the rectangle is:
length = 150 - 75 = 75
width = 75
Note: The rectangle turns out to be a square, and by definition, a square is a special type of rectangle.