document.write( "Question 957183: 1. two sides of triangle are the same length.the third side is 6 in. less than the sum of the equal sides.if the perimeter of the triangle is 46 in. find the three sides.
\n" ); document.write( "2. the length of a rectangular garden is 12 ft less than four times the width.if the perimeter of the garden is 256 ft. find the dimension of the garden. \n" ); document.write( "

Algebra.Com's Answer #584824 by addingup(3677) $\"\"$ $\"About$

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Let's call the two equal sides 2s. And the third side is 2s-6:
\n" ); document.write( "2s+2s-6 = 46 add the s on the left and add 6 to both sides:
\n" ); document.write( "4s= 52 divide both sides by 4
\n" ); document.write( "s= 13 this is the length of each of the same length sides. And the 3rd side is:
\n" ); document.write( "2(13)-6= 20
\n" ); document.write( "Check: 2(13)+2(13)-6= 26+26-6= 46 Correct.
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\n" ); document.write( "L is 12 less than 4W. And the perimeter is:
\n" ); document.write( "2L+2W= 256 And we just said that L= 4W-12, so let's substitute:
\n" ); document.write( "2(4W-12)+2W= 256
\n" ); document.write( "8W- 24+ 2W= 256 Now add 24 on both sides and add the W onthe left:
\n" ); document.write( "10W = 280 Divide both sides by 10
\n" ); document.write( "W= 28 is the width and the Length is:
\n" ); document.write( "28*4-12= 100
\n" ); document.write( "Check: The perimeter is 2L+2W = 2(100)+2(28)= 200+58= 258 Correct.
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