document.write( "Question 912748: Luke's rectangular bedroom is 540 f. The width is 1.5ft shorter than the length. I wrote the equation out 540=x(x t 1.5) but I don't know how to find the dimensions. Can you teach me how to solve for the dimensions please? \n" ); document.write( "
Algebra.Com's Answer #554064 by JulietG(1812)\"\" \"About 
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Luke's bedroom is half as big as most people's houses!
\n" ); document.write( "area = length * width
\n" ); document.write( "l = w + 1.5
\n" ); document.write( "540 = w(w+1.5)
\n" ); document.write( "540 = \"w%5E2\"+1.5w
\n" ); document.write( "0 = \"w%5E2\"+1.5w-540
\n" ); document.write( "Factor:
\n" ); document.write( "(w+24)(w-22.5)
\n" ); document.write( "Since a measurement is a positive value, we'll use 22.5
\n" ); document.write( "width = 22.5. The length is 1.5 longer than that, or 24
\n" ); document.write( "22.5 * 24 = 540
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