The perimeter of a rectangle is 60. The length is 10 more than the width. find the length and width

Question

The perimeter of a rectangle is 60. The length is 10 more than the width. find the length and width

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Valentina 3 weeks 2021-09-08T10:11:25+00:00 2 Answers 0

Answers ( )

    0
    2021-09-08T10:12:56+00:00

    Answer:

    width is 10 and length is 20

    Step-by-step explanation:

    find the length and width

    perimeter of a rectangle is = 2*length + 2*width

    lets give length and with a variable

    length = l

    width = w

    hence perimeter formula is 2l +2 w

    The perimeter of a rectangle is 60. The length is 10 more than the width.

    hence this statement helps us to create 2 formulas

    l = w + 10

    and

    2l + 2w = 60

    finding w

    we can make use of the substitution method. where l is in the second formula place w+ 10 there.

    2(w + 10 )+2w = 60

    2w + 20  +2w = 60

    4w + 20 = 60

    4w = 60-20

    4w = 40

    w = 10

    now we can find l

    place the value of w into the first formula so we can find l

    l = 10 +10

    l = 20

    hence this shows that the width is 10 and length is 20

    0
    2021-09-08T10:13:17+00:00

    Answer:

    Width is 10  Length is 20

    Step-by-step explanation:

    Perimeter = 60

    Length = W + 10

    P = 2L + 2W                      Write the equation for perimeter

    60 = 2(W + 10) + 2W         Substitute your variables

    60 = 4W + 20

    – 20          – 20                Subtract 20 from both sides

    40 = 4W                        Divide both sides by 4

    10 = W

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