document.write( "Question 1166473: The length of a rectangle is the same as the length of each side of a square.
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document.write( "The length of the rectangle is 4 cm more than 3 times the width of the rectangle.
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document.write( "The area of the square is 66 cm 2 more than the area of the rectangle.
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document.write( "Find the length and the width of the rectangle. You
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document.write( "must show all your working.\r
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Algebra.Com's Answer #790983 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! rectangle is s wide and 3s+4 long units cm \n" ); document.write( "Side of square is 3s+4 \n" ); document.write( "area of square is 9s^2+24s+16 \n" ); document.write( "area of rectangle is 3s^2+4s \n" ); document.write( "therefore, 3s^2+4s+66=9s^2+24s+16 \n" ); document.write( "0=6s^2+20s-50=3s^2+10s-25 \n" ); document.write( "(3s-5)(s+5)=0 \n" ); document.write( "s=5/3 cm \n" ); document.write( "square is 9 cm on a side or 81 cm^2 \n" ); document.write( "rectangle ia 9 cm long and 5/3 cm wide or area 15 cm^2 \n" ); document.write( " |