document.write( "Question 1197300: Suppose the area of the swimming pool is doubled, would its length and width also doubled? Justify your answer. The length is 35 and the width is 16 \n" ); document.write( "

Algebra.Com's Answer #830524 by Theo(13342) $\"\"$ $\"About$

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area = length * width
\n" ); document.write( "multiply both sides of the equation by 2 to get:
\n" ); document.write( "2 * area = 2 * length * width
\n" ); document.write( "2 * length * width = 2 * width * length = (2 * length) * width or (2 * width) * length.
\n" ); document.write( "what this suggests is that either the length is multiplied by 2 or the width is multiplied by 2, but not both.
\n" ); document.write( "if the length is 35 and the width is 16, then the area is equal to 35 * 16 = 560.
\n" ); document.write( "2 time the area = 2 * 560 = 1120.
\n" ); document.write( "(2 * width) * length = 35 * 32 = 1120.
\n" ); document.write( "either the length is doubled or the width is doubled, but not both.
\n" ); document.write( "if both are affected equally, then both the length and the width are multiplied by sqrt(2).
\n" ); document.write( "35 * sqrt(2) * 16 * sqrt(2) = 35 * 16 * sqrt(2)^2 = 35 * 16 * 2.
\n" ); document.write( "either way, the length and the width are not doubled if the area is doubled.\r
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