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two plots of land have same perimeter one is a square of side 60 m while other is rectangle whoose breadth is 15 m which plot has greater area​

Answer»

:-The plot of SQUARE encloses more area than Rectangle.Step-by-step explanation ::To Find :-Which plot has greater areaGiven that,Two plots of same PERIMETER, one is square and the other is rectangleSide of square = 60mBreadth of rectangle = 15mSolution:The perimeter of square is,THEREFORE,The perimeter of square is 240mGiven that,Perimeter of square = Perimeter of rectangle,Hence, the perimeter of rectangle is 240m.Now, we need to find out the length of rectangle, and we can find it by applying the formula of perimeter of rectangle,As we know that,Therefore,Therefore, the length of rectangle is 105m.According the QUESTION,The area of square is,As we know that,Therefore,Now,The area of rectangle is,As we know that,Therefore,Hence,The plot of square encloses more area than Rectangle=> 3600m² > 1575m²=> Area of square plot > Area of RECTANGULAR plot.



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