Chapter 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

24 comments:

  1. 1)Length:3x
    Breadth:2.5y

    2)Length:(6x+4y)
    Breadth:1y

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

    Check:
    Perimeter = 2(3x+2y) cm + 2(1/2y) cm
    = 6x cm + 4y cm + 1y cm
    = 6x + 5y cm

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  4. This comment has been removed by the author.

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  5. 1)
    Length:6x cm
    Breadth: 5y cm

    Check: (6x+5y)cm

    2) Length: (3x+ 3y)cm
    Breadth: (3x+ 2y)cm

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

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

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

    ReplyDelete
  7. 1)Length:2x+1.5y cm
    Breadth:x+y cm
    Check:[(2x+x)*2]+[(1.5y+y)*2]
    =(3x*2)+(2.5y*2)
    =(6x+5y)cm
    2)Length:x+2.5y cm
    breadth:2x cm
    check:[(2x+x)*2]+(2.5y*2)
    =(3x*2)+5y
    =(6x+5y)cm

    ReplyDelete
  8. 1 : Length = 3x
    Breadth = 2.5 y
    Check = 2(3x) + 2(2.5y) = (6x+5y) cm

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

    ReplyDelete
  9. 1) Length-> (3x + 2y) cm
    Breadth-> 1/2y cm

    Check:
    Perimeter-> 2(3x+2y) cm + 2(1/2y) cm
    = 6x cm + 4y cm + 1y cm
    = (6x + 5y) cm

    ReplyDelete
  10. 1) Length: 3x Breadth: 2.5y
    Check: 2(3x+2.5y) = (6x+5y)cm

    2) Length: 2x+1.5y Breadth: 1x+1y
    Check: 2(2x+1.5y+1x+1y) = (6x+5y)cm

    -Owen

    ReplyDelete
  11. 1.Length-3XCM Breadth-2.5YCM
    Check:2(3X+2.5Y)CM=(6X+5Y)CM

    2.Length-2.5XCM+0.5YCM
    Breadth-0.5XCM+2YCM
    Check:2(2.5X+0.5Y)CM+2(0.5X+2Y)CM=(6x+5y)CM

    ReplyDelete
  12. 1) Length : (3x)cm
    Breadth:(2.5y)cm
    Check : 2(3x+2.5y)cm=(6x+5y)cm

    2) Length :(2.5x)cm+(2y)cm
    Breadth:(1/2x)cm+(1/2x)cm
    Check :2{[(2.5x)cm+(2y)cm]+[(1/2x)cm+(1/2x)cm]}=(6x+5y)cm

    ReplyDelete
  13. 1.
    Length: 2x + 1.5y cm
    Breadth:1x+ 1y cm
    check: Perimeter: 2(2x + 1.5y cm )+2(1x+ 1y cm )
    = 4x+3y cm+2x+2y cm
    =6x +5y cm

    2.
    Length; 1.5x + 1.5y cm
    Breadth: 1.5x + 1y cm
    check: Perimeter: 2( 1.5x + 1.5y cm)+2(1.5x + 1y cm)
    =3x+3y cm+3x+2y cm
    =6x+5y cm

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

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  15. Possibility 1:

    Length of rectangle = x + y cm
    Breadth of rectangle = 2x + 1.5y cm

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

    Possibility 2:

    Length of rectangle = x + 0.5y cm
    Breadth of rectangle = 2x + y cm

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

    ReplyDelete
  16. 1) Length: 1.75x km + 1y
    Breadth: 1.25x km + 1.5y
    Check: Perimeter: 2(1.75x + 1y) + 2(1.25x + 1.5y)
    = 3.5x + 2y + 2.5x + 3y
    = 6x + 5y
    2) Length: 2x + 0.5y
    Breadth: 1x + 2y
    Check: Perimeter: 2(2x + 0.5y) + 2(1x + 2y)
    =4x + 1y + 2x + 4y
    =6x + 5y

    ReplyDelete
  17. [1] Length: x + 2y
    Breadth: 2x + 0.5y
    Check:
    Perimeter= 2(x + 2y) + 2(2x + 0.5y)
    =2x + 4y + 4x + 1y
    =6x + 5y

    [2] Length: 1.5x + 1y
    Breadth: 1.5x + 1.5y
    Check:
    Perimeter= 2(1.5x + 1y) + 2(1.5x+1.5y)
    =3x + 2y + 3x + 3y
    =6x + 5y

    ReplyDelete
  18. 1. Length = 2x + 2y
    Breadth = 1x + 0.5y
    Perimeter = (2x + 2y + 1x + 0.5y) * 2
    =6x + 5y

    2. Length = 2.5x + 1y
    Breadth = 0.5x + 1.5y
    Perimeter = (2.5x + 1y + 0.5x + 1.5y) * 2
    =6x + 5y

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

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

    ReplyDelete
  21. 1) Length: 3x
    Breadth: 2.5y
    Check: [2(3x)]+[2(2.5y)]
    = 6x+5y

    2) Length: y+2x
    Breadth: 1.5y+x
    Check: 2(y+2x)+2(1.5y+x)
    = 2y+4x+3y+2x
    =5y+6x

    ReplyDelete
  22. Mark :) :( :'( (^^^) :D :O :42: O:) :p 3:)4/21/2011 08:31:00 AM

    1) Length:( 2.5x + y)
    Breadth: (x/2 + 1.5y)
    Perimeter: 2(2.5x + y) + 2(x/2 + 1.5y)
    = 5x + 2y + x + 3y
    = (6x + 5y)

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

    ReplyDelete
  23. Length of rectangle : ( 2x+1.5y)
    Perimeter of rectangle: ( x+y)

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

    ReplyDelete
  24. Length:3x
    Breadth:2.5y
    Check:
    3x+3x+2.5y+2.5y
    =6x+5y
    (Assuming y≤x)

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

    ReplyDelete