document.write( "Question 518997: Please help me to solve this word problem:\r
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document.write( "A square and a rectangular plot of land have same perimeter. If the square is of side 40 m and rectangle is of length 5 dam, then what is the area of the rectangle?\r
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document.write( "This the exact question copied from the Maths Olympiad practice book. Also please tell me the method.\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #345327 by jessica43(140)![]() ![]() ![]() You can put this solution on YOUR website! To find the area of the rectangle, you need to find the length and the width of the rectangle. \n" ); document.write( "To solve this problem you need to start by writing an equation using what you know. \n" ); document.write( "First, you know the perimeters of the square plot and rectangular plot are equal. \n" ); document.write( "square perimeter = 4s (where s is the length of each side) \n" ); document.write( "rectangular perimeter = 2L + 2W (where L is length and W is the width of the rect) \n" ); document.write( "so 4s = 2L + 2W \n" ); document.write( "Next, you know that the square has a side length of 40m. So plug that into the equation above for s: \n" ); document.write( "4s = 2L + 2W \n" ); document.write( "4(40) = 2L + 2W \n" ); document.write( "160 = 2L + 2W \n" ); document.write( "Finally, you know that the length of the rectangle is 5m (I am assuming you meant to write m). So plug that into the equation for L: \n" ); document.write( "160 = 2L + 2W \n" ); document.write( "160 = 2(5) + 2W \n" ); document.write( "160 = 10 + 2W \n" ); document.write( "Now solve for the width. \n" ); document.write( "160 = 10 + 2W \n" ); document.write( "150 = 2W \n" ); document.write( "75 = W \n" ); document.write( "So the width of the rectangle is 75m. \n" ); document.write( "Now to find the area of the rectangle, use the area formula: \n" ); document.write( "A = LW (A=area, L=length, W=width) \n" ); document.write( "A = LW \n" ); document.write( "A = (75)(5) \n" ); document.write( "A = 375 \n" ); document.write( "So the area of the rectangle is 375 meters squared. \n" ); document.write( " |