Section 8.1 - Determining Optimum Area And Perimeter

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Section 8.1 - Determining Optimum Area And Perimeter

Complete the following questions.


Questions and Answers
  • 1. 
    Each rectangle has a perimeter of 24 units.  Which one has the greatest area?
    • A. 

      Diagram a

    • B. 

      Diagram b

    • C. 

      Diagram c

    • D. 

      Diagram d

  • 2. 
    What is the maximum area of a rectangle with a perimeter of 60km?
    • A. 

      200 km^2

    • B. 

      225 km^2

    • C. 

      240 km^2

    • D. 

      360 km^2

  • 3. 
    • A. 

      Length = 2.75m, width = 2.75m

    • B. 

      Length = 9m, width = 2m

    • C. 

      Length = 2.25m, width = 3.25m

    • D. 

      Length = 3m, width = 3m

  • 4. 
    • A. 

      Length = 20 m, width = 20 m

    • B. 

      Length = 13.33 m, width = 13.33 m

    • C. 

      Length = 10 m, width = 10 m

    • D. 

      Length = 10 m, width = 20 m

  • 5. 
    Each rectangle has an area of 49 square units.  Which one has the greatest perimeter?
    • A. 

      Diagram a

    • B. 

      Diagram b

    • C. 

      Diagram c

    • D. 

      Diagram d

  • 6. 
    Raquel is making a quilt.  She has 540cm of fabric to border the quilt.  What is the greatest possible area for the quilt?
    • A. 

      11 664 cm^2

    • B. 

      18 225 cm^2

    • C. 

      72 900 cm^2

    • D. 

      291 600 cm^2

  • 7. 
    What is the minimum perimeter of a rectangle with an area of 625 mm^2
    • A. 

      100 mm

    • B. 

      125 mm

    • C. 

      156.25 mm

    • D. 

      312.5 mm

  • 8. 
    Brandon is making a rectangular pen for his pigs.  The hardware store sells chicken wire for $8.50/m.  Brandon has $75 to spend.  What dimensions should he use to build a pen with the greatest area?
    • A. 

      Length = 4.4 m, width = 4.4 m

    • B. 

      Length = 3.1 m, width = 1.3 m

    • C. 

      Length = 8.8 m, width = 8.8 m

    • D. 

      Length = 2.2 m, width = 2.2 m

  • 9. 
    Kelly is making an area to keep her dog outside.  She has 25m of fencing.  The area will be against a garage as shown.  What dimensions will maximize the area of the dog run?
    • A. 

      Length = 6.25 m, width = 12.5 m

    • B. 

      Length = 5 m, width = 5 m

    • C. 

      Length = 8.33 m, width = 8.34 m

    • D. 

      Length = 7.5 m, width = 10 m