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Half the perimeter of a rectangular …

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Half the perimeter of a rectangular garden whose length 4m more than its width is 36m. Find dimensions of the garden

    • Posted by Jyoti Gupta 6 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Rahul Ranjan Singh 6 years, 5 months ago

    Let the breadth of the garden be y metre So,length becomes( y+4) We know that 2(length +breadth)=perimeter of rectangle. A\c 1/2*2(y+4+y) = 36 2y+4 =36 2y=36-4 y=32/2 y=16 Therefore,we get breadth=y=16m and length=y+4=16+4=20m

    1Thank You

    Arsh Tutorials 6 years, 5 months ago

    Let x be the length and y be the breadth.

    {tex}\therefore{/tex} x = y + 4 {tex}\implies{/tex}x - y = 4 --- (1)

    P = 2 (x + y)  {tex}\implies{/tex}x + y = 36 --- (2)

    (1) + (2) {tex}\implies{/tex}2x = 40 {tex}\implies{/tex}x = 20 m {tex}\implies{/tex} y = 16 m

    0Thank You

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