Mathematics

Question

The perimeter of a rectangle is 64 m and its length is 3 times its width, what is the length of the Rectangle?

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  • Answer:

    Length = 24m

    Step-by-step explanation:

    Perimeter = 2(length + width)

    then:

    p = 2(e+w)   eq.1

    e = 3w     eq. 2

    Replacing the eq. 2 in the eq. 1

    64 = 2(3w+w)

    64 = 2(4w)

    64 = 8w

    64/8 = w

    w = 8

    from the eq. 2

    e = 3*8

    e = 24

    Check:

    from the eq. 1

    64 = 2(24+8)

    64 = 2*32