query: When a square of given dimensions is cut to make it a rectangle, does the area of rectangle becomes greater? why? how?
positive_passages.docid: 32984
positive_passages.text: why 64 is equal to 65 here?
negative_passages.docid: 128716
negative_passages.text: Intuitive/direct proof that a rectangle partitioned into rectangles each with at least one integer side must itself have an integer side
negative_passages.docid: 152861
negative_passages.text: How many squares on a 5-foot grid does a 5-foot radius spell affect?
negative_passages.docid: 142211
negative_passages.text: Clipping vs Intersecting
negative_passages.docid: 130639
negative_passages.text: Find the maximum area possible of equilateral triangle that inside the given square
negative_passages.docid: 87558
negative_passages.text: Reflecting points on a square to make it larger
negative_passages.docid: 67514
negative_passages.text: Formal Proof that area of a rectangle is $ab$
negative_passages.docid: 49376
negative_passages.text: Why are the holes in my polygons not generalized?
negative_passages.docid: 19503
negative_passages.text: Why does a circle enclose the largest area?
negative_passages.docid: 134823
negative_passages.text: How to find the area of any irregular shape?
negative_passages.docid: 18482
negative_passages.text: Can the squares with side $1/n$ be packed into a $1 \times \zeta(2)$ rectangle?
negative_passages.docid: 81328
negative_passages.text: How to find the dimensions of a rectangle given a) the area and the diagonal or b) the perimeter and the diagonal
negative_passages.docid: 128274
negative_passages.text: Why sphere minimizes surface area for a given volume?
negative_passages.docid: 102616
negative_passages.text: How do you get the width and height of a multi-dimensional array?
negative_passages.docid: 90574
negative_passages.text: How can area be a vector?
negative_passages.docid: 103190
negative_passages.text: Algorithm to get the maximum size of n squares that fit into a rectangle with a given width and height
negative_passages.docid: 128042
negative_passages.text: Cutting a cube by plane cuts