document.write( "Question 121306: There are two rectangular plots of land, A and B. The difference between the length and the width of A is 3 m. The length of A is 8 m more than that of B; the width of A is 5 m less than the width of B and the area of B is 250 m squared more than half the area of A. Find lengths and widths of A and B.\r
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document.write( "Formula given:
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document.write( "Area of B - 1/2 Area of A = 250 \n" );
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Algebra.Com's Answer #89063 by jaymore(5)![]() ![]() ![]() You can put this solution on YOUR website! Let the dimensions of plot B be x and y \n" ); document.write( "The dimensions of plot A will be x+8 and y-5 \n" ); document.write( "Difference in lengh n width of plot A \n" ); document.write( "(x+8)-(y-5)=3 \n" ); document.write( "Solve to get x-y=-10 or x+10=y\r \n" ); document.write( "\n" ); document.write( "Area of Plot A: \n" ); document.write( "(x+8)(y-5) \n" ); document.write( "Expand to get xy-5x+8y-40 \n" ); document.write( "Substitute x+10=y in the equation to get \n" ); document.write( "Xsquared+13x+40\r \n" ); document.write( "\n" ); document.write( "Area of Plot B: \n" ); document.write( "xy=x(x+10)=Xsquared+10x\r \n" ); document.write( "\n" ); document.write( "(Xsquared+10x)-1/2(Xsquared+13x+40)=250 \n" ); document.write( "Simplyfy to get Xsquared+7x-540=0 \n" ); document.write( "Solve quadratic equation \n" ); document.write( "X=20 and y=x+10=20+10=30 \n" ); document.write( "Plot A: \n" ); document.write( "Length=28 width=25 \n" ); document.write( "Plot B: \n" ); document.write( "Length=20 width=30\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |