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29 June, 16:40

If the perimeter of the rectangle shown is 86 feet, we can use the equation 6x - 10 = 86 to find its dimensions. If the solution to this equation is x = 16, what are the dimensions of the rectangle?

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  1. 29 June, 16:57
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    length = 27

    breadth = 16

    Step-by-step explanation:

    The equation to determine the perimeter of the rectangle is given as

    6x-10=86

    the solution to above is x=16

    Hence one of the side is 16. The formula for perimeter is given as

    P=2 (l+b)

    if b=x = 16

    and P=86

    replacing them inthe formula for perimeter

    86=2 (l+16)

    dividing both sides by 2 we get

    43=16+l

    subtracting 16 from both sides we get

    27=l

    Hence the length and breadth of the rectangle are 27 and 16 respectively
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