Picky Rectangles

A 150×70150\times 70 grid has 178 x×y178\ x\times y rectangles. Find the value of x+yx+y.

Details and Assumptions:

  • Dimensions are expressed as width×\timesheight. Thus an x×yx\times y rectangle (that is, a rectangle of width xx and height yy) is considered to be different from a y×xy\times x (width y,y, height xx) rectangle. In this problem, you only consider the x×yx\times y rectangles, not the y×xy\times x ones.

This is one part of Quadrilatorics.
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