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
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! As stated, there is no single answer to that problem.
I suppose what was meant was that rectangle ABCD is similar to the 3 small congruent rectangles. That makes the problem solvable.
Since I have not figured out how to draw on this website yet, I'll ned to use your imagination.
Visualize points A, E, F, and B equally spaced on a horizontal line.
directly below then, imagine points D, G, H, and C.
Rectangle ABCD is similar to rectangles AEGD, EFHG, and FBCH, meaning that the ratios of length to with are the same.
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.
The length of the small rectangles is the distance AD, the width of the large rectangle. We'll call ix  .
The length to width ratio is
 for the large rectangle and
 for the small rectangles, so
 and 
making the area of the large rectangle
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