Rectangles: Maximizing Area

Directions: What is the greatest area you can make with a rectangle that has a perimeter of 24 units?

Hint

What are the possible dimensions of a rectangle that has a perimeter of 24 units?  How can we determine their area?

Answer

The rectangle with a perimeter of 24 units and the greatest area is a square with side length of 6 units.  That square has an area of 36 square units.

Source: Robert Kaplinsky

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25 comments

  1. Hey this Is Brendyn Mahon again and this time It was easy I think 6 times 4 =is the 24

  2. its not letting put an answer

  3. 8+8+4+4 for rectangle with perimeter of24

  4. a perimeter of 24 has sides of 8+8+4+4 with an area of 32

  5. 36 a 6 in square

  6. the greatest area of a rectangle with 24 units is 20 units.

  7. P=24 units

    l=4
    w=6

    so 6 x 4= 24

  8. Answer from Zain johar

    P= 5+7+5+7=24
    w=7
    L=5
    A= 7×5=35 units

  9. I got the answer 36 units.

  10. 6 by 6 works because a square can be a rectangle but a rectangle isn’t a square

  11. 6 by 6 because 6+6+6+6=24 and 6×6=36

  12. 8+8+4+4=26

  13. Isabella Mendoza

    8+8+4+4= 24 for the perimeter then the greastet area is 32 square units.

  14. 6×6 = 36

  15. Scarlett Salaz

    36 6+6+6+6=24 6X6= 36!!

  16. The answer is 36.

  17. perimeter is 10 + 2 + 10 + 2 =24 sq inches
    Area is 10 x 2 = 20 sq inches

  18. 6×4=24, i also have it on the whiteboard to prove it.

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