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jeff
Lv 4
jeff asked in Education & ReferenceHomework Help · 1 decade ago

Please help on Algebra.?

I am trying to do this 2 problems, I can do it only when ask to find the width, but when they ask to find both length and width,I am lost please help.

1.)The length of a rectangle is 3 inches more than width, The perimeter is 26 inches. Find the length and width.

L=

w=

2.)The length of a rectangle is 3 inches more than three times the width. The perimeter is 70 inches. Find the length and width.

L=

W=

4 Answers

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  • 1 decade ago
    Favorite Answer

    Width—w:

    2(w + w + 3) = 26

    2w + 3 = 13

    2w = 10

    w = 5

    Length:

    = 5 + 3

    = 8

    Answer: width, 5 inches; length, 8 inches

    -----------

    Length—x:

    2(x + 1/3[x - 3]) = 70

    x + 1/3x - 1 = 35

    3x + x - 3 = 105

    4x = 108

    x = 27

    Width:

    = 1/3(27 - 3)

    = 1/3(24)

    = 8

    Answer: length, 27 inches; width, 8 inches

  • Anonymous
    1 decade ago

    hey this isn't so bad ok let's start with what you know

    the length of a rectangle is 3 inches more than width so you can write that as l=w+3,

    and obviously, a rectangle has two lengths and two widths. so that would be 2(w+3)+w+w=26. t

    he 2(w+3) is the two lengths and the "w"s are the widths.

    let's simplify. 2(w+3)+w+w=26 is also 4w+6=26. that's simplifying the equation.

    which i won't get into...then you solve it. 4w+6(-6)=26(-6) >> (5divide)4w=20(divided by 5) >> w=5

    then you go back to l=w+3 and input your newfound number for w. l=5+3,

    aka L=8 and W=5

    the other one is pretty much the same as the first,

    Source(s): survived gr 8 math
  • Anonymous
    1 decade ago

    these two are very similar, so I'll help you with the first and it also applies to the second. for the first one, you would label the width as x and the length as x+3. the perimeter is 2l+2w, so put in the x values for the perimeter. you would get 2(x+3)+2(x)=26, or 2x+6+2x=26. solving for x you would have 4x=20, and x=5, which we already said that the width was x, so the width is 5, and the length would be 8. do the same things for the second one. hope this helps

    Source(s): math major
  • 1 decade ago

    1. 2(w+3) + 2w = 26

    w= 5

    L= 8

    2. 2(3w+3) + 2w = 70

    w= 8

    L=27

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