document.write( "Question 442302: The dimensions of a rectangle are 8 centimeters by 12 centimeters. What are the dimensions of a similar rectangle with exactly double the area?
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Algebra.Com's Answer #305037 by ilana(307)![]() ![]() ![]() You can put this solution on YOUR website! The area of this rectangle is 8*12=96 cm^2. So the area of the similar rectangle is 2*96=192 cm^2. \n" ); document.write( "A similar rectangle has to have x times the length and x times the width, so an equation for its area is 8x*12x=192. \n" ); document.write( "96x^2 = 192 \n" ); document.write( "x^2 = 2 \n" ); document.write( "x = rt2. \n" ); document.write( "So the length and width are both multiplied by the square root of 2. \n" ); document.write( "The new dimensions are 8rt2 cm and 12rt2 cm. \n" ); document.write( " |