The width of a rectangle is one third length if the perimeter is 180 metre find the dimensions of the rectangle

Question

The width of a rectangle is one third length if the perimeter is 180 metre find the dimensions of the rectangle

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Skylar 1 month 2021-08-20T17:37:27+00:00 2 Answers 0 views 0

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    0
    2021-08-20T17:38:47+00:00

    Answer:

    l=54m

    r=36m

    Step-by-step explanation:

    let the length of the rectangle be xm

    thus ,width of the rectangle =2x/3

    given,

    perimeter of the rectangle is 180

    =2(x+2x/3)=180

    =2(3x+2x/3)=180

    =2(5x)=180*3[by cross multiplication ]

    =10x =540

    x=54

    now , width of the rectangle =2x /3 =2*54/3

    =36m

    hence the length of the rectangle in 54m, and breadth of the rectangle is 36m

    hope it helps

    0
    2021-08-20T17:39:09+00:00

    Let the length of the rectangle be x,

    Perimeter = 2(l+b)

    180= 2(x+\frac{1}{3}x)

    \frac{180}{2} = x+ \frac{1}{3} x

    90 = x+\frac{1}{3} x

    90/\frac{1}{3}= x+x

    90*3 = 2x

    270= 2x\\\\\frac{270}{2} = x\\\\135= x

    Length is 135 m.

    Breadth = \frac{1}{3} * 135 = 45m

    So the dimensions are 135m and 45m.

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