the perimeter of a piece of paper is 19.5 inches. the length is 6 inches less than twice the width. what are the dimensions of the paper?

Question

the perimeter of a piece of paper is 19.5 inches. the length is 6 inches less than twice the width. what are the dimensions of the paper?

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Eliza 2 weeks 2021-09-09T13:35:21+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T13:36:28+00:00

    Answer:

    Length=4.5 inch

    Width= 5.25 inch

    Step-by-step explanation:

    Let the width of the paper be ‘W’ and

    Length of the paper be ‘L’

    Perimeter= 19.5 inches

    According to the statement given:

    Length=2*Width-6\\\\L=2W-6

    Perimeter of a rectangle :

                                           2(Length + Width)\\\\                                     19.5     = 2(L+W)\\\\                                       19.5   =2(2W-6+W)

                                           19.5=2(3W-6)\\\\19.5=6W-12

    Adding ’12’ both side:

                                          19.5+12=6W\\\\31.5=6W\\\\W=31.5/6\\\\W=5.25 inches

    Length=2W-6=2(5.25)-6=10.5-6= 4.5 inch

    Length=4.5 inch\\Width= 5.25 inch

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45:7+7-4:2-5:5*4+35:2 =? ( )