math

The length of a rectangle is 5cm longer than the its breadth. Find the length and breadth if the perimeter is 26 cm

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  1. L = Length

    B = Breadth

    The length of a rectangle is 5 cm longer than the its breadth mean:

    L = B + 5

    P = 2 L + 2 B

    P = 2 ( L + B )

    Replace L with B + 5 inn this equation

    P = 2 ( B + 5 + B )

    P = 2 ∙ ( 2 B + 5 )

    26 = 4 B + 10

    Subtract 10 to both sides

    16 = 4 B

    Divide both sides by 4

    4 = B

    B = 4 cm

    L = 4 + 5

    L = 9 cm

    P = 2 ( L + B )

    P = 2 ∙ ( 4 + 9 )

    P = 2 ∙ 13

    P = 26 cm

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  2. Thanks, i actually mistook the perimeter formula to be P= L+B

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  3. Thanks

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  4. thanks

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