document.write( "Question 943358: Please help us figure out how to get the formula.\r
\n" ); document.write( "\n" ); document.write( "Marisol is painting on a piece of canvas that has an area of 180 square inches. The length of the painting is 1 1/4 times the width. What are the dimensions of the painting?
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Marisol is painting on a piece of canvas that has an area of 180 square inches. The length of the painting is 1 1/4 times the width. What are the dimensions of the painting?\r
\n" ); document.write( "\n" ); document.write( "Solution:
\n" ); document.write( "The mixed number 1 1/4 is equal to the improper fraction 5/4.
\n" ); document.write( "Let x = width
\n" ); document.write( "so (5/4)x = length
\n" ); document.write( "The area of a rectangle is equal to the product of length and width.
\n" ); document.write( "[(5/4)(x)](x) = 180
\n" ); document.write( "(5/4)(x^2) = 180
\n" ); document.write( "Multiply both sides by 4/5
\n" ); document.write( "x^2 = 144
\n" ); document.write( "Get the positive square root of both sides
\n" ); document.write( "x = 12
\n" ); document.write( "so (5/4)(x) = 15
\n" ); document.write( "Therefore, the width is 12 inches and the length is 15 inches.
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