document.write( "Question 982368: find the height and base of a rectangle if it has a base of x+2 and height of x-2 with an area of 32 centimeter squared \n" ); document.write( "

Algebra.Com's Answer #603263 by ameanes(4) $\"\"$ $\"About$

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since length times width (or base times height) gives you area of a rectangle, you just multiply the binomials and set equal to the ares, then solve the quadratic.
\n" ); document.write( " (x+2)(x-2) is a difference of squares, so... we know that when multiplied it is x^2 - 4\r
\n" ); document.write( "\n" ); document.write( "Then set that equal to the area of 32.\r
\n" ); document.write( "\n" ); document.write( "x^2 - 4 = 32 to solve we will isolate the x and then use square roots.
\n" ); document.write( " + 4 + 4
\n" ); document.write( " ____ ____
\n" ); document.write( " 0 36
\n" ); document.write( " x^2 = 36 Take the square root of both sides
\n" ); document.write( " x = 6\r
\n" ); document.write( "\n" ); document.write( "so the base is 6 + 2 = 8
\n" ); document.write( "& the height is 6 - 2 = 4 \n" ); document.write( "

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