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Half of the perimeter of a …

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Half of the perimeter of a garden ,whose length is 4 more than it's width is 36 m. Find the dimension of the garden

    • Posted by Madhulika Mogilisetty 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 6 months ago

    Let length of rectangular garden = x metres
    and width of rectangular garden = y metres
    According to given conditions, perimeter = 36 m 
    {tex}\frac12{/tex}(2x + 2y)  = 36
    {tex}\Rightarrow{/tex} x + y = 36 .......(i)
    and x = y+4
    {tex}\Rightarrow{/tex} x - y =4 ..........(ii)
    Adding eq. (i) and (ii),
    2x = 40 {tex}\Rightarrow{/tex} x = 20 m
    Subtracting eq. (ii) from eq. (i),
    2y = 32 {tex}\Rightarrow{/tex} y = 16 m
    Hence, length = 20 m and width = 16 m

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