document.write( "Question 1125023: A picture frame measures 16cm by 30cm on the outside, and 176cm^2 of picture shows.fine the uniform width of the frame around the picture \n" ); document.write( "
Algebra.Com's Answer #741358 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "If x is the uniform width of the border, then the dimensions of the picture are 30-2x by 16-2x. So algebraically \n" ); document.write( " \n" ); document.write( "You can solve the problem by solving that equation. \n" ); document.write( "But a solution can be found more quickly using logical reasoning and a bit of simple arithmetic. \n" ); document.write( "The difference between the dimensions of the whole frame is 14cm; with a uniform border, the difference between the dimensions of the picture will be 14 cm. \n" ); document.write( "So find two numbers whose difference is 14 and whose product is 176. \n" ); document.write( "176 = 2*88 no... \n" ); document.write( "176 = 4*44 no... \n" ); document.write( "175 = 8*22 YES!! \n" ); document.write( "The dimensions of the picture are 8 by 22; the outer dimensions of the frame are 16 by 30. The differences between the corresponding dimensions are 8cm; that means the uniform border is 4cm wide. \n" ); document.write( " |