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24 October, 03:27

Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of a rectangular traffic sign is 140 inches. Also, its length is 10 inches longer than its width. Find the dimensions of this sign. What is the length of the sign?

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  1. 24 October, 04:42
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    The length and width of rectangular traffic sign are 40 and 30 inches respectively

    Solution:

    Given that,

    Perimeter of rectangular traffic sign = 140 inches

    Let length and width be denoted as 'L' and 'B' respectively

    Given that length is 10 inches longer than its width

    L = 10 + B

    The perimeter of rectangle is given as:

    Perimeter = 2 (L + B)

    On substituting the values, we get

    140 = 2 (10 + B + B)

    140 = 2 (10 + 2B)

    140 = 20 + 4B

    B = 30

    Therefore, the length is L = 10 + 30 = 40

    Hence the dimensions length and width of the rectangle are 40 and 30 inches respectively.
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