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

12 comments:

  1. Length of rectangle = 2x + 2.25y cm
    Breadth of rectangle = x + 0.25y cm
    Check:
    Perimeter = 2 (2x + 2.25y) + 2 (x + 0.25y) cm
    = 4x + 4.5y + 2x + 0.5y cm
    = 6x + 5y cm

    - Looi Chi Han

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

    Length of rectangle: (2x+2y) cm
    Breadth of rectangle: (1x+0.5y) cm
    Check:
    Perimeter = 2(2x+1x) + 2(2y+0.5y)
    =2(3x) + 2(2.5y)
    =6x + 5y cm

    ReplyDelete
  3. -1st Solution
    Possible Length of Rectangle: 2x + 2.5y cm
    Possible Breadth of Rectangle: x cm
    Check: 2(2x+2.5y+x)=6x+5y cm

    -2nd Solution
    Possible Length of Rectangle: 2x cm
    Possible Breadth of Rectangle: x+2.5y cm
    Check: 2(2x+x+2.5y) cm

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  5. first possible ans:Length: 2x+1y
    Breadth:1x+1.5y
    Check:2x+1y+1x+1.5y=3x+2.5
    ans*2=6x+5y

    second possible ans: Length:1.5x+2y
    Breadth: 1.5x+0.5y

    Check:1.5+2y+1.5x+0.5y=3x+2.5
    ans*2=6x+5y

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  6. 1st possible answer: Length=(0.5x), Breadth=2.5x+2.5y
    Check: 2(0.5x)+2(2.5x+2.5y)=6x+5y

    2nd possible answer: Length=(0.25x), Breadth=2.75x+2.5y
    Check: 2(0.25x)+2(2.75x+2.5y)=6x+5y

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  7. 1) Length: 6x, Breadth: 5y
    Check: 6x + 5y = 6x+5y

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

    (If you do not accept 2), 3) Length: 2x+3y, Breadth: 4x+2y
    Check: 2x+3y+4x+2y= 6x+5y

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  9. 1)Length = Breadth = (6x + 5y)/4cm
    = (1.5x + 1.25)cm

    2)Length = (2x + 1.5y)cm
    Breadth = (x + y)cm

    Check: 1) (1.5x + 1.25)cm * 4 = (6x + 5y)cm
    2) (2x + 1.5y)cm * 2 + (x + y)cm * 2 = (6x + 5y)cm

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  10. 1) Length 2x+1.5y Breadth= x+1y
    2) Length 3x Breadth= 2.5y
    check: (2x+1.5y)+(2x+1.5y)+( x+1y)+( x+1y) = 6x+5y
    3x+3x+2.5y+2.5y=6x+5y

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

    L: 3x
    B: 2.5y

    L+B: 1.5x+1.25y

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  12. Length of rectangle = 1.5x + 1.5y cm
    Breadth of rectangle = 1.5x + y cm
    Check:
    Perimeter = 2 (1.5x + 1.5y) + 2 (1.5x + y) cm
    = 3x + 3y + 3x +2y cm
    = 6x + 5y cm

    ReplyDelete