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Question

The area of parallelogram is p sq.cm  and height is q cm. A second parallelogram has equal area but its base is r cm more than that of the first Obtain an expression in terms of p, q and r for the height  of the second parallelogram.

hintHint:

Find the area of the second parallelogram with the given condition and equal
it with the area of 1st parallelogram as they both have the same area (given). we get
the required relation .

The correct answer is: qp/(qr+p)


    Ans :- fraction numerator h p over denominator h r plus p end fraction
    Explanation :-
    Given , area of 1st parallelogram = p sq.cm ; height = q cm .
    Second parallelogram has equal area as 1st .
    i.e  Area of second parallelogram = p sq.cm
    Base of 2nd parallelogram is r more than 1st parallelogram
    text  We know, area of parallelogram  end text equals text  base  end text cross times text  height  end text not stretchy rightwards double arrow text  base  end text equals fraction numerator text  area  end text over denominator text  height  end text end fraction
    Base of 2nd parallelogram = r+ Base of 1st parallelogram
     not stretchy rightwards double arrow fraction numerator p over denominator text  height of  end text 2 text  nd parallellogram  end text end fraction equals r plus p over q
    not stretchy rightwards double arrow fraction numerator p over denominator text  height of  end text 2 text  nd parallellogram  end text end fraction equals fraction numerator q r plus p over denominator q end fraction
    not stretchy rightwards double arrow text  height of  end text 2 text  nd parallellogram  end text equals fraction numerator q p over denominator q r plus p end fraction
    Therefore, The height of second parallelogram in terms of p, q and r is fraction numerator q p over denominator q r plus p end fraction

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