How to Optimize the Areas & Perimeters of Rectangles


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question 1 of 3

Derrick is fencing in his yard and has 80 feet of fencing. What is the maximum area he can enclose with this amount of fencing?

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1. Susannah wants to build a patio with an area of 100 ft2. How long should each side be in order to have the minimum possible perimeter?

2. Alliya is building a table and she wants it to have an area of 16 ft2. What is the smallest perimeter that the table can have?

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About This Quiz & Worksheet

Test your understanding of optimizing the areas and perimeters of rectangles by using the quiz/worksheet combo. You need to know how to calculate the smallest perimeter to do well on the quiz.

Quiz & Worksheet Goals

You'll get to check your understanding of:

  • Finding the maximum area of rectangles
  • The minimum possible perimeter
  • Calculating the maximum area of an enclosure

Skills Practiced

Go through the quiz and worksheet any time to practice the following skills:

  • Reading comprehension - ensure that you draw the most important information from the lesson on optimizing the areas and perimeters of rectangles
  • Information recall - access the knowledge you have gained about finding the maximum area of rectangles
  • Knowledge application - use your knowledge to answer questions about areas and perimeters

Additional Learning

How to Optimize the Areas & Perimeters of Rectangles is a lesson you can review for more information on the topic. These subjects include:

  • The meaning of perimeter
  • How to find areas of a rectangle
  • Finding the minimum perimeter of a fixed area