Chap 5 Algebra... Different "Faces" of Algebra (III)

The perimeter of a rectangle is (6x + 5y) cm.
Suggest 2 possible dimensions of the rectangle.

e.g.
Length of rectangle = 2x + 2y cm
Breadth of rectangle = x + 0.5y cm
Check:
Perimeter = 2 (2x + 2y) + 2 (x + 0.5y) cm
= 4x + 4y + 2x + y cm
= 6x + 5y cm

26 comments:

  1. Length of Rectangle = 3x + 1y cm
    Breadth of rectangle = 2y cm

    Check:
    Perimeter = 2(3x + 1y) + 2(1.5y) cm
    = (6x + 2y + 3y) cm
    = 6x + 5y cm

    ReplyDelete
  2. Length of rectangle = 3x + 1y cm
    Breath of rectangle = 1.5y cm
    Perimeter = 2 (3x+1y) + 2 (1.5y) cm
    = 6x + 2y + 3y cm
    = 6x + 5y cm

    ReplyDelete
  3. This comment has been removed by the author.

    ReplyDelete
  4. Length of Rectangle = 3x + 2y
    Breadth of Rectangle = 1y

    Perimeter = 2 (3x + 2y) + 2 (0.5y)
    = 6x + 4y + 1y
    = 6x + 5y

    ReplyDelete
  5. Length of rectangle = 3x
    Breadth of rectangle = 2.5y
    Check:
    Perimeter = 2 (3x) + 2 (2.5y) cm
    = 6x + 5y cm

    ReplyDelete
  6. This comment has been removed by the author.

    ReplyDelete
  7. This comment has been removed by the author.

    ReplyDelete
  8. Length of rectangle = 2x + 0.5y
    Breadth of Rectangle = x + 2y

    Perimeter = [(2x + 0.5y) x 2] + [(x + 2y) x 2]
    = (6x + 5y) cm

    ReplyDelete
  9. Length: 3x cm
    Breadth:2.5y cm

    Perimeter: 2(3x + 2.5y) = 6x + 5y

    Length: 2x + y cm
    Breadth: x + 1.5y cm

    Perimeter: 2(2x + x + 1.5y + y) = 6x + 5y

    ReplyDelete
  10. length: 2x+1.5y

    breath:1x+1y

    perimeter=(2)2x+1.5y + (2)1x+1y

    ReplyDelete
  11. Length of rectangle = x+y
    Breadth of rectangle = 2x+1.5y
    Check:
    Perimeter = 2x+1.5y+ 2x+1.5y+x+y+x+y
    = (6x+5y)

    ReplyDelete
  12. This comment has been removed by the author.

    ReplyDelete
  13. Length of Rectangle = (2x + 1.5y) cm
    Breadth of rectangle = (x + y) cm

    CHECK
    Perimeter = 2(2x + 1.5y) + 2(x + y) cm
    = (4x + 3y) cm + (2x + 2y) cm
    = (6x + 5y) cm

    ReplyDelete
  14. Length of rectangle = x + 2y cm
    Breadth of rectangle = 2x + 0.5y cm
    Check:
    Perimeter = 2 (x + 2y) + 2 (2x + 0.5y) cm
    = 2x + 4y + 4x + y cm
    = 6x + 5y cm

    ReplyDelete
  15. Length of triangle: 2x+y cm
    Breadth of rectangle: x+1.5y cm

    Check:
    Perimeter: (2x+y)cm x2= 4x+2y cm
    (x+1.5y)cm x2= 2x+3y cm
    (4x+2y)cm+(2x+3y)cm= 6x+5y cm

    ReplyDelete
  16. 1)Length of the rectangle= 2x+y cm
    Breadth of rectangle= x+1.5y cm

    Permimeter= 2(2x+y)+ 2(x+1.5y)cm
    = ( 4x+2y)+(2x+3y)
    = (6x+5y)

    2) Length of the rectangle= 3x+y cm
    Breadth of rectangle= 1.5y cm

    Perimeter = 2(3x+y)+2(1.5y)
    = 6x+2y+3y
    = 6x+5y//

    ReplyDelete
  17. Length of rectangle = (1.5x + 1.7y) cm
    Breadth of rectangle = (1.5x + 0.8 y) cm

    Check:
    Perimeter = 2(1.5x + 1.7y) + 2(1.5x + 0.8 y) cm
    = (3x + 3.4) + (3x + 1.6)cm
    =6x + 5y cm

    ReplyDelete
  18. Length of rectangle = 3x +y cm
    Breadth of rectangle = 1.5y cm

    Check: 2 (3x+y) + 2 (1.5y)
    = 6x+2y+3y
    = 6x+5y cm

    ReplyDelete
  19. The perimeter of a rectangle is (6x + 5y) cm.
    Suggest 2 possible dimensions of the rectangle.

    Length: x+x
    Breadth: 1.25y-2x

    (x+x+1.25y-0.5x)^4

    ReplyDelete
  20. Length of rectangle = 2.5x + 2y cm
    Breadth of rectangle = 0.5x + 0.5y cm
    Check:
    Perimeter = 2 (2.5x + 2y) cm + 2 (0.5x + 0.5y) cm
    = 5x + 4y cm + 1x + 1y cm
    = 6x + 5y cm

    ReplyDelete
  21. Length of rectangle = 1.5cm + 1.1cm
    Breadth of rectangle = 1.5cm + 1.4cm

    Perimeter = 3x cm + 3x cm + 2.2cm + 2.8cm
    = (6x + 5y)cm

    ReplyDelete
  22. Length of rectangle = 2x + 2.5y cm
    Breadth of rectangle = x cm
    Check:
    Perimeter = 2 (2x + 2.5y) + 2 (x) cm
    = 4x + 5y + 2x cm
    = 6x + 5y cm

    ReplyDelete
  23. Length of rectangle = 3x + y cm
    Breath of rectangle = 1.5y cm

    CHECK
    Perimeter = 2 (3x+1y) + 2 (1.5y) cm
    = 6x + 2y + 3y cm
    = 6x + 5y cm

    ReplyDelete
  24. Length of Rectangle : ( 2x + 4y ) cm
    Breadth of Rectangle : x - 1.5y

    Check :
    Perimeter = 2 ( 2x + 4y ) cm + 2 ( x - 1.5y ) cm
    = ( 4x + 8y ) cm + ( 2x - 3y ) cm
    = ( 6x + 5y ) cm

    ReplyDelete
  25. Length of Rectangle: 3x
    Breadth of Rectangle: 2.5y

    Check: 2(3x)+2(2.5y)
    =6x+5y

    ReplyDelete
  26. Feedback on your individual responses are reflected on the hardcopy on your class notice baord.

    There are some creative answers amongst the above.

    Ziying, please double check your inputs:
    The perimeter of a rectangle is (6x + 5y) cm.
    Suggest 2 possible dimensions of the rectangle.
    Length: x+x
    Breadth: 1.25y-2x
    (x+x+1.25y-0.5x)^4
    {why ^4; also will there be any more x after adding the length and breadth together?}

    ReplyDelete