The length of a rectangle is 3 more than twice the width. The perimeter is 60. What are the L and W?

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  • Опубліковано 2 лис 2024

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  • @f.osborn1579
    @f.osborn1579 11 місяців тому

    Many parents and “old” people might have had poor quality teaching when they were taught math, so I share this channel with my mom and others who are “bad” at math.

  • @flyingspirit3549
    @flyingspirit3549 5 місяців тому

    A superb review of algebra basics; essential to retain what some of us learned back just before the last Ice Age.

  • @russelllomando8460
    @russelllomando8460 11 місяців тому +2

    got it in about 45 sec. good one, thanks. it was fun.

  • @bobcornwell403
    @bobcornwell403 11 місяців тому +7

    Width is 9; length is 21.

  • @billg5584
    @billg5584 11 місяців тому

    Known:
    L = 2W +3
    P = 60
    2L + 2W = P
    2L +2W = 60
    Solve:
    Substitute (2W + 3) for L
    2 (2W+3) + 2W = 60
    Distributive property
    2*2W + 2*3 + 2W = 60
    4W + 6 + 2W = 60
    6W + 6 = 60
    Subtract 6 on both sides
    6W = 60 - 6
    6W = 54
    Divide by 6 on both sides
    W = 9
    Solve for L
    L = 2*9 +3
    L = 18 + 3
    L = 21

  • @olenfersoi8887
    @olenfersoi8887 11 місяців тому

    The perimeter (2 eidths + 2 lengths) is 6x +6 =60 if the width ix x & one of the long sides is 2x+2. This makes it easy to solve since every term is divisible by 6, such that x+1=10 making x=9

  • @gaia2uwilson
    @gaia2uwilson 11 місяців тому +3

    9”x21” (figured out in my head in less than a minute)

  • @andrewm6424
    @andrewm6424 11 місяців тому

    Took a few tries. But the length is 21 and the width is 9. 2L + 2W = 60 L = length. W = width. P = perimeter.
    L = 2W + 3
    2(2W + 3) + 2W = 60
    4W + 6 + 2W = 60
    6W + 6 = 60
    6W = 54
    W = 9
    L = 2W + 3
    L = 2(9) + 3
    L = 18 + 3
    L = 21
    Therefore 21x9 rectangle.
    2L + 2W = 60.
    2(21) + 2(9) = 60
    42 + 18 = 60
    60 = 60 😊

  • @devonwilson5776
    @devonwilson5776 11 місяців тому

    Greetings. The dimensions are 9 units for the width and 21 units for the length. We Shall assume that the width of the rectangular figure is X. When the width is X units, the length is 3 more than twice this measure. Therefore, the length is (2X +3) units. Moving forward, the perimeter using the dimensions is
    2(X+ 2X+3)=2(3X+3)=6X+6 units. We will now equate the values of the perimeters to get 6X+6=60, and
    6X=60-6, 6X=54 and X=54/6 =9 units, the width of rectangular figure.
    The length is twice the value of X +3
    = (2×9+3)=18+3=21 units.

  • @MrMousley
    @MrMousley 11 місяців тому

    If we call the width X that would make the length 2X + 3
    and we have been told that 2X + 2(2X + 3) = 60 do the 2(2X + 3)
    2X + 4X + 6 = 60 add the Xs together
    6X + 6 = 60 subtract 6 from both sides
    6X = 54 divide both sides by 6
    X = 9
    The width is 9 and the length is 9 x 2 + 3 = 21 and to check 9 + 9 + 21 + 21 = 60

  • @liviag1122
    @liviag1122 11 місяців тому

    Thank you. What software are you using for this video (for writing), can you tell me, please?

  • @tomtke7351
    @tomtke7351 11 місяців тому

    two equations
    in
    two unknowns
    L
    W
    eq.1: 2L + 2W = 60
    eq.2: L = 2W + 3
    modifying eq.2 and then putting into eq.1 =>
    eq.2: L = 2W + 3
    2W = L - 3
    eq.1: 2L + 2W = 60
    2L + (L - 3) = 60
    3L = 63
    L = 21
    from eq.2
    eq.2: L = 2W + 3
    21 = 2W + 3
    18 = 2W
    W = 9
    VERIFY:
    L=21, W=9
    from eq.1
    eq.1: 2L + 2W = 60
    2(21) + 2(9) =? 60
    42 + 18 =? 60
    60 =❤ 60✔️

    • @terry_willis
      @terry_willis 11 місяців тому

      Why use 2 unknowns when 1 will work?

    • @tomtke7351
      @tomtke7351 11 місяців тому

      @@terry_willis both length and width are unknowns

  • @Mrskateboardboy
    @Mrskateboardboy 10 місяців тому

    9 x 21. Let X equal the width.

  • @يوسفحسينعبدالله-ز4ج
    @يوسفحسينعبدالله-ز4ج 11 місяців тому

    Dim 21*9

  • @charlesslack8090
    @charlesslack8090 11 місяців тому

    21 and 9

  • @markmcclure5349
    @markmcclure5349 11 місяців тому

    9 × 21

  • @nageswararaochelikani343
    @nageswararaochelikani343 11 місяців тому

    9 and 22

  • @manojsunderji4893
    @manojsunderji4893 11 місяців тому +1

    Length is 22.5
    Width is 7.5

  • @olubunmiafolabi5636
    @olubunmiafolabi5636 11 місяців тому +1

    Length = 21
    Width = 9

  • @rajalakshmik6148
    @rajalakshmik6148 11 місяців тому

    Width-9
    Length-21

  • @cocovanmeerendonk4118
    @cocovanmeerendonk4118 11 місяців тому

    9x21

  • @deograciousuwiragiye8429
    @deograciousuwiragiye8429 11 місяців тому

    Width=9cm
    Length=21cm

  • @davidbailey2081
    @davidbailey2081 11 місяців тому

    Trick question

  • @claycthesunburntband7750
    @claycthesunburntband7750 11 місяців тому

    I liked it until you took 2 minutes to ask us to like it... 😞

  • @1959Berre
    @1959Berre 9 місяців тому

    17 minutes to explain this? Seriously? It took me 40 seconds to solve this in my head. You must be the most boring math teacher ever.

  • @georgeday5901
    @georgeday5901 11 місяців тому

    I got this wrong.

  • @kamilshere9186
    @kamilshere9186 11 місяців тому

    21 and 9

  • @danielmadden9691
    @danielmadden9691 7 місяців тому

    21 ×9