document.write( "Question 547553: the number of inches in the perimeter of a square is 3 more than the number of square inches in its area. find the length of a side. \n" ); document.write( "

Algebra.Com's Answer #356938 by KMST(5328) $\"\"$ $\"About$

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If the length of a side (in inches) is $\"x\"$ ,
\n" ); document.write( "the perimeter of the square (in inches) is $\"4x\"$ ,
\n" ); document.write( "and the area (in square inches) is $\"x%5E2\"$ .
\n" ); document.write( "The wording says that $\"4x\"$ is 3 more than $\"x%5E2\"$ .
\n" ); document.write( "That means $\"4x=x%5E2%2B3\"$ <--> $\"x%5E2-4x%2B3=0\"$ <--> $\"%28x-1%29%28x-3%29=0\"$ , which gives you two solutions: $\"x=1\"$ and $\"x=3\"$ .
\n" ); document.write( "A square of side 1 inch has an area of 1 square inch and a perimeter of 4 inches, with 4 being 3 more than 1.
\n" ); document.write( "A square of side 3 inches has an area of 9 square inch and a perimeter of 12 inches, with 12 being 3 more than 9.
\n" ); document.write( "If you graph $\"perimeter=4x\"$ and $\"area%2B3=x%5E2%2B3\"$ , you find that they cross at two points.
\n" ); document.write( " $\"graph%28200%2C300%2C-1%2C4%2C-3%2C15%2C4x%2Cx%5E2%2B3%29\"$ \n" ); document.write( "

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