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Two squares, with integer side lengths a and b, are arranged so that one entire side of the smaller square overlaps a part of a side of the larger square, and the two squares share a vertex, as shown. The perimeter of the entire figure is 86 cm, and the sum of the areas of the two squares is 386 cm squared. In centimeters, what is the value of a + b? (Sorry I couldn't upload the picture, but I don't think the picture is necessary in solving the problem. If it is, please tell me and I will find a way to upload it.)

 Jul 4, 2020
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Hint:   a + b = 24 wink

 Jul 4, 2020
edited by Dragan  Jul 5, 2020

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