document.write( "Question 1037844: Can someone please help my daughter with this problem and show her step-by-step how to do it her geometry class is a SE class as she has a learning problem in math that is why she has been asking to be shown step by step how to do the problem if she sees how it is done she understands it better the problem states find the perimeter of quadrilateral STUV, S(-5,-3) T(7,-2) U(7,-6) V(-5,-6) \n" ); document.write( "
Algebra.Com's Answer #652476 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
quadrilateral STUV, S(-5,3) T(7,-2) U(7,-6) V(-5,-6)
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document.write( "The perimeter is just how many units it is all the way around\r\n" );
document.write( "the quadrilateral.  You can get 3 of the sides just by counting\r\n" );
document.write( "the blocks on the graph paper.\r\n" );
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document.write( "From S to V is 9 units straight down.\r\n" );
document.write( "From V to U is 12 units left to right.\r\n" );
document.write( "From U to T is 4 units straight up.\r\n" );
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document.write( "The only line that we have to calculate is the slanted one from S to T.\r\n" );
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document.write( "We do that by drawing a horizontal line from T over to the line SV, like\r\n" );
document.write( "below.  We will label the point W(-5,-2) where it intersects line SV:\r\n" );
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document.write( "To calculate to upper side ST of the quadrilateral, we use the\r\n" );
document.write( "Pythagorean theorem on right triangle SWT, which states that\r\n" );
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document.write( "\"ST%5E2\"\"%22%22=%22%22\"\"SW%5E2%2BWT%5E2\"\r\n" );
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document.write( "We count blocks and get that WT = 12, the same as VU. And we\r\n" );
document.write( "see that SW is 5 unit long, by counting blocks.\r\n" );
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document.write( "So we substitute 12 for SW and 5 for WT\r\n" );
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document.write( "\"ST%5E2\"\"%22%22=%22%22\"\"5%5E2%2B12%5E2\"\r\n" );
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document.write( "\"ST%5E2\"\"%22%22=%22%22\"\"25%2B144\"\r\n" );
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document.write( "\"ST%5E2\"\"%22%22=%22%22\"\"169\"\r\n" );
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document.write( "\"ST\"\"%22%22=%22%22\"\"sqrt%28169%29\"\r\n" );
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document.write( "From the calculator we can get that square\r\n" );
document.write( "root to be 13.\r\n" );
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document.write( "Then the perimeter is the sum of all four\r\n" );
document.write( "sides:\r\n" );
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document.write( "SV + VU + UT + ST = 9 + 12 + 4 + 13 = 38\r\n" );
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document.write( "So the perimeter is 38.\r\n" );
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document.write( "Edwin
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