the breadth of a rectangular field is w2/3of it’s length. the perimeter is 40cm. what is the breadth of the auditorium ​

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the breadth of a rectangular field is w2/3of it’s length. the perimeter is 40cm. what is the breadth of the auditorium

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Gabriella 13 hours 2021-10-12T15:03:47+00:00 1 Answer 0 views 0

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    2021-10-12T15:05:33+00:00

    Step-by-step explanation:

    Let the length of the rectangular field be x.

    Given:-

    \\ \sf  Length = x \\ \\ \sf Breadth \implies \dfrac{2}{3}x \\ \\ \sf Perimeter = 40cm \\ \\  \huge \tt \underline{Solution:-} \\ \\ \\  \sf Formula \: for \: Perimeter \: of \: rectangle = 2(l+b) \\ \\ \implies \sf 40 = 2( x + \dfrac{2}{3}x) \\ \\ \implies \sf 40= 2( \dfrac{5}{3}x) \\ \\ \implies 40= \sf 2 \times \dfrac{5}{3}x \\ \\ \sf \implies 40= \dfrac{10}{3}x \\ \\ \sf \implies x = \dfrac{40 \times 3}{10}= 12 \\ \\ \sf Length = 12cm \\ \\ \sf Breadth= 12 \times \dfrac{2}{3}=8cm.

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