document.write( "Question 327062: Please help me solve this equation.The difference between the areas of 2 rectangles is 8.The area of the smaller rectangle decreased by 4 is the same as 3/4 of the area of the larger one.Find the areas of the given rectangles.
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Algebra.Com's Answer #234205 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please help me solve this equation.The difference between the areas of 2 rectangles is 8.The area of the smaller rectangle decreased by 4 is the same as 3/4 of the area of the larger one.Find the areas of the given rectangles. \n" ); document.write( "--- \n" ); document.write( "Equations: \n" ); document.write( "A - B = 8 \n" ); document.write( "B-4 = (3/4)A \n" ); document.write( "------------------ \n" ); document.write( "Rearrange: \n" ); document.write( "A = B+8 \n" ); document.write( "4B-16 = 3A \n" ); document.write( "------------------- \n" ); document.write( "Substitute for A and solve for \"B\": \n" ); document.write( "4B-16 = 3(B+8) \n" ); document.write( "4B-16 = 3B+24 \n" ); document.write( "B = 40 sq units (area of the smaller rectangle) \n" ); document.write( "---------------- \n" ); document.write( "Since A = B+8, A = 48 sq units (area of the larger rectangle) \n" ); document.write( "====================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========== \n" ); document.write( " \n" ); document.write( " |