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20 June, 15:46

Rectangle ABCD has a length represented by the expression 5x - 1 and a width represented by the expression 3x + 7. Rectangle JKLM has a length represented by the expression 2x - 5 and a width represented by the expression 4x + 11. What expression can be used to represent the sum of the perimeters of rectangle ABCD and rectangle JKLM

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  1. 20 June, 15:57
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    28x + 24

    Step-by-step explanation:

    The perimeter is calculated as:

    P = (length + width) * 2

    For rectangle ABCD:

    P1 = (5x-1+3x+7) * 2

    P1 = 16x + 12

    For rectangle JKLM

    P2 = (2x-5 + 4x+11) * 2

    P2 = 12x + 12

    The sum of both perimeters:

    P1 + P2 = 16x + 12 + 12x + 12

    P1 + P2 = 28x + 24
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