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There is a rectangular terrace whose length and width are 60m X 20m. There is a walkway of uniform width around terrace. Area of walkway is 516m^2. Find width of walkway:

Answer Posted / Yamuna Kumar Nirala

Let the width of the walkway be w. Then the perimeter of the rectangular terrace (including the walkway) is 2(60+w)+2(20+w)=240+4w+200+2w=640+6w. Since the area of the walkway is 516m^2, the area of the rectangle without the walkway is the total area minus the area of the walkway, which is (60*20)-(640+6w)=1160-6w. Therefore, w=184m.

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