document.write( "Question 529102: rectangle ABCD contains 3 small congruent rectangles. if the smaller dimension of one of the small rectangles is 5 units, what is the area of rectangle ABCD in square units \n" ); document.write( "

Algebra.Com's Answer #349497 by KMST(5328) $\"\"$ $\"About$

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As stated, there is no single answer to that problem.
\n" ); document.write( "I suppose what was meant was that rectangle ABCD is similar to the 3 small congruent rectangles. That makes the problem solvable.
\n" ); document.write( "Since I have not figured out how to draw on this website yet, I'll ned to use your imagination.
\n" ); document.write( "Visualize points A, E, F, and B equally spaced on a horizontal line.
\n" ); document.write( "directly below then, imagine points D, G, H, and C.
\n" ); document.write( "Rectangle ABCD is similar to rectangles AEGD, EFHG, and FBCH, meaning that the ratios of length to with are the same.
\n" ); document.write( "The distances AE, EF, FB, DG, GH, and HC are all 3, the width of the small rectangles. They add up to a length of 9 for the large rectangle.
\n" ); document.write( "The length of the small rectangles is the distance AD, the width of the large rectangle. We'll call ix $\"x\"$ .
\n" ); document.write( "The length to width ratio is
\n" ); document.write( " $\"9%2Fx\"$ for the large rectangle and
\n" ); document.write( " $\"x%2F3\"$ for the small rectangles, so
\n" ); document.write( " $\"x%2F3=9%2Fx\"$ and $\"x=sqrt%2827%29=3sqrt%283%29\"$
\n" ); document.write( "making the area of the large rectangle
\n" ); document.write( " $\"9%283sqrt%283%29%29=27sqrt%283%29\"$ \n" ); document.write( "

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