The perimeter of a rectangle is 176 m. The length is 4 m less than three times the width. Find the dimensions of the rectangle.

Question

The perimeter of a rectangle is 176 m. The length is 4 m less than three times the width. Find the dimensions of the rectangle.

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Thu Cúc 1 year 2021-08-15T01:07:26+00:00 1 Answers 11 views 0

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    2021-08-15T01:08:54+00:00

    Answer:

    Length = 65 m

    Width = 23 m

    Step-by-step explanation:

    Width = w

    Length = 3w – 4

    Perimeter of rectangle = 176 m

    2*(length + width) = 176

    2*( 3w – 4 + w ) = 176

    2* ( 4w – 4) = 176

    2*4w – 2*4 = 176

          8w – 8 = 176    { add 8 to both sides}

               8w = 176 +8

               8w = 184

            8w/8 = 184/8

                  w = 23 m

    Length = 3w – 4

                = 3*23 – 4

                = 69 – 4

    Length = 65 m

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