
Maximizing Area with Fixed Perimeter
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main problem discussed in the video?
Finding the circle with maximum area.
Finding the rectangle with maximum area for a fixed perimeter.
Finding the square with maximum area.
Finding the rectangle with minimum perimeter.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the perimeter of a rectangle defined?
Product of length and width.
Twice the sum of length and width.
Sum of all four sides.
Sum of length and width.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the perimeter is fixed, how can one dimension be expressed in terms of the other?
By expressing length as (Perimeter - 2 * width) / 2.
By adding the dimensions.
By subtracting the dimensions.
By dividing the perimeter by two.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the area of a rectangle in terms of width?
Area = Perimeter * width.
Area = (Perimeter / 2) * width - width^2.
Area = (Perimeter - 2 * width) * width.
Area = width * width.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the critical point for the width when finding maximum area?
Width = Perimeter / 5.
Width = Perimeter / 4.
Width = Perimeter / 2.
Width = Perimeter / 3.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the dimensions of the rectangle for maximum area?
Length = Width = Perimeter / 4.
Length = Width = Perimeter / 3.
Length = Width = Perimeter / 5.
Length = Width = Perimeter / 2.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape does the rectangle form when it has maximum area?
A circle.
A pentagon.
A triangle.
A square.
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