Picky Rectangles
Discrete Mathematics
Level
5
A \(150\times 70\) grid has \(178\ x\times y\) rectangles. Find the value of \(x+y\).
Details and Assumptions:
- Dimensions are expressed as width\(\times\)height. Thus an \(x\times y\) rectangle (that is, a rectangle of width \(x\) and height \(y\)) is considered to be different from a \(y\times x\) (width \(y,\) height \(x\)) rectangle. In this problem, you only consider the \(x\times y\) rectangles, not the \(y\times x\) ones.
This is one part of Quadrilatorics.
by
Kenneth Tan