document.write( "Question 983842: Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary. \n" ); document.write( "

Algebra.Com's Answer #604632 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
given:\r
\n" ); document.write( "\n" ); document.write( "C ( $\"-1\"$ , $\"2\"$ ),
\n" ); document.write( "D ( $\"-2\"$ , $\"-1\"$ ),
\n" ); document.write( "E ( $\"2\"$ , $\"-2\"$ ), and
\n" ); document.write( "F ( $\"1\"$ , $\"1\"$ )\r
\n" ); document.write( "\n" ); document.write( "use the distance formula, then add all of the distances \r
\n" ); document.write( "\n" ); document.write( " the distance between points
\n" ); document.write( "C ( $\"-1\"$ , $\"2\"$ ) and D ( $\"-2\"$ , $\"-1\"$ ) is $\"CD\"$ \r
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\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:
\n" ); document.write( "
\n" ); document.write( " $\"d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"$
\n" ); document.write( "
\n" ); document.write( " Thus in our case, the required distance is
\n" ); document.write( " $\"d=sqrt%28%28-2--1%29%5E2+%2B+%28-1-2%29%5E2%29=+3.16227766016838+\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " For more on this concept, refer to Distance formula.
\n" ); document.write( "

\n" ); document.write( " \r
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\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the distance between points
\n" ); document.write( " E ( $\"2\"$ , $\"-2\"$ ), and F ( $\"1\"$ , $\"1\"$ )is $\"EF\"$ \r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:
\n" ); document.write( "
\n" ); document.write( " $\"d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"$
\n" ); document.write( "
\n" ); document.write( " Thus in our case, the required distance is
\n" ); document.write( " $\"d=sqrt%28%281-2%29%5E2+%2B+%281--2%29%5E2%29=+3.16227766016838+\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " For more on this concept, refer to Distance formula.
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the distance between points\r
\n" ); document.write( "\n" ); document.write( "C ( $\"-1\"$ , $\"2\"$ ) and E ( $\"2\"$ , $\"-2\"$ ) is $\"CE\"$ \r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:
\n" ); document.write( "
\n" ); document.write( " $\"d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"$
\n" ); document.write( "
\n" ); document.write( " Thus in our case, the required distance is
\n" ); document.write( " $\"d=sqrt%28%282--1%29%5E2+%2B+%28-2-2%29%5E2%29=+5+\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " For more on this concept, refer to Distance formula.
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the distance between points\r
\n" ); document.write( "\n" ); document.write( "D ( $\"-2\"$ , $\"-1\"$ ) and F ( $\"1\"$ , $\"1\"$ ) is $\"DF\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: Distance Formula to determine length on coordinate plane

The distance (d) between two points is given by the following formula:
\n" ); document.write( "
\n" ); document.write( " $\"d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29\"$
\n" ); document.write( "
\n" ); document.write( " Thus in our case, the required distance is
\n" ); document.write( " $\"d=sqrt%28%281--2%29%5E2+%2B+%281-11%29%5E2%29=+10.4403065089106+\"$
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " For more on this concept, refer to Distance formula.
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so,\r
\n" ); document.write( "\n" ); document.write( " $\"CD=+3.16\"$ units
\n" ); document.write( " $\"EF=3.16\"$
\n" ); document.write( " $\"CE=5\"$
\n" ); document.write( " $\"DF=10.44\"$ \r
\n" ); document.write( "\n" ); document.write( "then, $\"P=3.16%2B3.16%2B5%2B10.44=21.76\"$ \r
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