Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around t
he outside of the original square to make a new figure. How does the area of her new figure compare with that of the original square? A) The two figures have the same area. B) The area of the new figure is greater. C) The area of the original square is greater. D) we don’t know because neither the side length nor the area of the original square is known.
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So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:
Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:
That x value is 20.