Wednesday, 17 February 2016

Algebra... Different "Faces" of Algebra (II)

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


Enter your suggested dimensions in Comments.
Indicate any assumptions made.

13 comments:

  1. Length: 2.5x + 1.5y
    Breath: 0.5x + 1y
    Check: 2(2.5x + 1.5y) + 2(0.5x + 1y)
    =6x + 5y cm
    ____________________________________________
    Length: 2.75x + 2y cm
    Breath: 0.5x + 0.5y cm
    Check: (2(2.75x + 2y) + 2(0.5x + 0.5y))
    =6x + 5y cm

    ReplyDelete
  2. Breadth=(0.4y)cm
    Length=(2.1y+3x)
    Perimeter=2(2.5y+3x)cm=(5y+6x)cm

    ReplyDelete
  3. 1>
    Length: 3x
    Breath: 2.5y
    Perimeter: 2(3x)+2(2.5y)=(6x+5y)cm

    2>
    Length: 2.5y
    Breath: 3x
    Perimeter: 2(2.5y)+2(3x)=(6x+5y)cm

    ReplyDelete
  4. Length:(-2x+5x)cm
    Breadth:(-4y+5y+1.5y)cm
    Perimeter:2(-2x+5x)+(-4y+5y+1.5y)=(6x+5y)cm

    ReplyDelete
  5. 1) Length: (2x+1.5y)cm
    Breadth: (x+1y)cm
    Check: (4x +3y)cm + ( 2x+2y)cm = (6x+5y) cm
    2) Length: ( 1.5x+2y)cm
    Breadth: (1.5x+0.5y)cm
    Check: (3x+4y) + (3x+1y) cm = 6x+5y

    ReplyDelete
  6. 1)Length:2x-0.5y
    Breadth:x+3y
    Check:(2x+x+3y-0.5y)X2=(3x+2.5y)X2
    =6x+5y
    2)Length:4x-y
    Breadth:3.5y-x
    Check:(4x-x)+(3.5y-y)=3x+2.5y
    (3x+2.5)yX2=6x+5y

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

    ReplyDelete
  8. Length: (2x + 2.5y)cm
    Breath: x cm
    Check:
    Perimeter=(2x + 2.5y) cm x2 + x cm x2=(6x + 5y)cm

    ReplyDelete
  9. Replies
    1. How do you find the perimeter of a rectangle?
      What's the formula?

      Delete
  10. Length: (3X + 1.5Y)cm
    Breadth: Ycm

    Check: [(3X + 1.5Y)cm x 2] + Ycm x 2 = (6X + 3Y)cm + 2Ycm
    = (6X + 5Y)cm

    ReplyDelete

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