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3 February, 03:35

The perimeter of a rectangle is 70. The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). What are the dimensions of the rectangle?

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  1. 3 February, 05:21
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    Answer: length = 13

    Width = 22

    Step-by-step explanation:

    The formula for determining the perimeter of a rectangle is expressed as

    Perimeter = 2 (length * width)

    The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). If the perimeter of a rectangle is 70, it means that

    2[ (3x - 8) + (x + 3) ] = 70

    Dividing both sides of the equation by 2, it becomes

    3x - 8 + x + 3 = 35

    3x + x - 8 + 3 = 35

    4x - 5 = 35

    4x = 35 + 5 = 40

    x = 40/4

    x = 10

    Length = x + 3 = 10 + 3

    Length = 13

    Width = 3x - 8 = 3 * 10 - 8

    Width = 22
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