The greatest area of the rectangular plot which can be laid out within a triangle of base 36 ft . \& altitude 12ft equals (Assume that one side of the rectangle lies on the base of the triangle)

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Area of rectangle = A = xy ........(i) Also x 36 ​ = 12 − y 12 ​ ⇒ 3 y = ( 36 − x ) ..........(ii)

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