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Is it possible to design a …

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Is it possible to design a rectangular park of perimeter 80 metres and area 400 m2. If so, find its length and breadth.

    • Posted by Vashu Tyagi 3 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Geeta Jadav 3 years, 6 months ago

    Let length of rectangular park = x Breadth of rectangular park=y Now, Area of rectangal=l×b 400=x×y.......(1) Perimeter of rectangal=2(l+b) 80=2(x+y) 40=x+y X=40-y.........(2) Now, 400=xy 400=(40-y)y 400=40y-y^2 -y^2+40y-400=0 y^2-40y+400=0 y^2-20y-20y+400=0 y(y-20)-20(y-20)=0 (y-20)(y-20)=0 y=20m Now,put the value of y in eq(2), X=40-20 x=2m Hence, value of length =20m Value of breadth=20m

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