document.write( "Question 135725: 1. If the lenght of a rectangle is doubled, does the area double? Why or why not?\r
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document.write( "2. If the height and the base of a triangle are doubled, what happens to the area? Explain. \n" );
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Algebra.Com's Answer #99475 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Area of a rectangle = Length* Width or A=LW\r \n" ); document.write( "\n" ); document.write( "1. \n" ); document.write( "Let A1=LW (original rectangle) \n" ); document.write( "And A2=(2L)W (now we have doubled the length)\r \n" ); document.write( "\n" ); document.write( "A2=2LW But notice that LW =A1, so:\r \n" ); document.write( "\n" ); document.write( "A2=2A1 ---------------------answer, it doubles!!\r \n" ); document.write( "\n" ); document.write( "2. Same approach \n" ); document.write( "Area of triangle=(1/2)Base*Height or A=(1/2)BH \n" ); document.write( "A1=(1/2)BH (original triangle) \n" ); document.write( "A2=(1/2)(2B)(2H) (now we have doubled the base and height)\r \n" ); document.write( "\n" ); document.write( "A2=(1/2)(4)(BH) or 2BH But notice that BH =2A1, so:\r \n" ); document.write( "\n" ); document.write( "A2=(2)(2A1) or 4A1 -----answer, it gets 4 times larger!!!!!!\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "Triangle: \n" ); document.write( "Let B=2 \n" ); document.write( "H=4 \n" ); document.write( "A=(1/2)*8=4 \n" ); document.write( "Let B=4 \n" ); document.write( "H=8 \n" ); document.write( "A=(1/2)*32=16 which is 4*4 \r \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |